916
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 1610
- Proper Divisor Sum (Aliquot Sum)
- 694
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 456
- Möbius Function
- 0
- Radical
- 458
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- neunhundertsechzehn· ordinal: neunhundertsechzehnste
- English
- nine hundred sixteen· ordinal: nine hundred sixteenth
- Spanish
- novecientos dieciséis· ordinal: 916º
- French
- neuf cent seize· ordinal: neuf cent seizième
- Italian
- novecentosedici· ordinal: 916º
- Latin
- nongenti sedecim· ordinal: 916.
- Portuguese
- novecentos e dezesseis· ordinal: 916º
Appears in sequences
- Strobogrammatic numbers: the same upside down.at n=17A000787
- Numbers beginning with letter 'n' in English.at n=28A000981
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=42A001682
- Primes multiplied by 4.at n=49A001749
- MacMahon's solid partitions of n in which 2 is the smallest summand.at n=8A002043
- Number of semi-regular digraphs (with loops) on n unlabeled nodes with each node having out-degree 2.at n=3A003286
- Mian-Chowla sequence (a B_2 sequence): a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise sums of elements are all distinct.at n=25A005282
- Number of semi-regular digraphs (with loops) on n unlabeled nodes with each node having out-degree 3.at n=2A005535
- Numbers k such that k^16 + 1 is prime.at n=43A006313
- Numbers k such that k^8 + 1 is prime.at n=36A006314
- Trails of length n on square lattice.at n=6A006817
- Coordination sequence T1 for Zeolite Code AFG.at n=21A008012
- Coordination sequence T1 for Zeolite Code LOS.at n=21A008132
- Coordination sequence T4 for Zeolite Code SGT.at n=19A008232
- Coordination sequence for quartz.at n=17A008261
- Number of increasing sequences of star chain type with maximal element n.at n=13A008927
- Phi(n) + 6 | sigma(n + 6).at n=43A015785
- Divisors of 916.at n=5A018720
- Strobogrammatic numbers: numbers that are the same upside down (using calculator-style numerals).at n=37A018846
- Numbers k such that the continued fraction for sqrt(k) has period 14.at n=42A020353