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用户:ZEdzEd3168/沙盒/996

ZEdzEd3168/沙盒/996
ZEdzEd3168/沙盒/996-1 ZEdzEd3168/沙盒/996 ZEdzEd3168/沙盒/996+1
数表整数
命名
小写九百九十六
大写玖佰玖拾陆
序数词
识别
种类整数
性质
质因数分解
表示方式
ZEdzEd3168/沙盒/996
罗马数字DCCCCVI
二进制1111100100
八进制1744
十六进制3E4

996是995与997之间的自然数。

性质

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  • 合数因数1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
  • 十进制上第四大的三位数字。
  • 996是过剩数。(又称作丰数盈数)
  • 小于996平方根的最大因数12。一个正整数,如果小于该数的平方根的最大因数1,它就是质数,而小于996平方根的最大因数12,996是第24个有这种性质的数,前一个有此性质的数是948,后一个有此性质的数是1068。(OEIS数列A162532
  • 996是9维多胞体数,9维多胞体的施莱夫利符号是{3, 3, 3, 3, 3, 3, 3, 4},9维多胞体数,在三位数只有4个:1、18、163、996。所以996属于有形数。(OEIS数列A079190
  • 996是属于这个数列OEIS数列A079190),这个数列(OEIS数列A079190)在10000000以内只有3个数:1、6、996,下一个就超过10000000了31857648。
  • 前996个素数平方和还是素数,前一个有此性质的数是974,后一个有此性质的数是1064。(OEIS数列A098561
  • 是一个立方数小于等于立方数的最大平方数的和,512 + 484 = 996,484<=512,996是第9个有此性质的数,前一个有此性质的数是667,后一个有此性质的数是1458。(OEIS数列A176580
  • 完全平方数完全数28的数,996是第33个有此性质的数,前一个有此性质的数是933,后一个有此性质的数是1061。(OEIS数列A155136
  • 用质数公式 n2 +(-5) 代入996能产生质数,996是第21个有此性质的数,前一个有此性质的数是804,后一个有此性质的数是1014。(OEIS数列A176681
  • 函数n3+28 n2代入996能产生平方数。996是第34个有此性质的数,前一个有此性质的数是933,后一个有此性质的数是1061。(OEIS数列A155135
  • 满足Floor(4n/3n)的数(OEIS数列A064628),n=24
  • 满足关系式n2 + n + 4的数,n为整数(OEIS数列A027689
  • 其平方数9962 = 992016,可表示为原数字中间“插入”其他数字的结果。996是第12个有此性质的数,前一个有此性质的数是995,后一个有此性质的数是1000。(OEIS数列A045953[1]

天文领域

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其他领域

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参见

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参考资料

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用户:ZEdzEd3168/沙盒/996
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