996
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2352
- Proper Divisor Sum (Aliquot Sum)
- 1356
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 328
- Möbius Function
- 0
- Radical
- 498
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 49
- 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
- neunhundertsechsundneunzig· ordinal: neunhundertsechsundneunzigste
- English
- nine hundred ninety-six· ordinal: nine hundred ninety-sixth
- Spanish
- novecientos noventa y seis· ordinal: 996º
- French
- neuf cent quatre-vingt-seize· ordinal: neuf cent quatre-vingt-seizième
- Italian
- novecentonovantasei· ordinal: 996º
- Latin
- nongenti nonaginta sex· ordinal: 996.
- Portuguese
- novecentos e noventa e seis· ordinal: 996º
Appears in sequences
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=58A001033
- Number of Post functions of n variables.at n=3A002857
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=5A004966
- a(n) = smallest number k such that Product_{i=1..k} prime(i)/(prime(i)-1) > n.at n=16A005579
- Related to representations as sums of Fibonacci numbers.at n=49A006132
- Coordination sequence T7 for Zeolite Code MFI.at n=20A008170
- Coordination sequence T6 for Zeolite Code DFO.at n=24A009880
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=29A011904
- Number of partitions of n into its divisors that are powers of primes (A000961) with at least one part of size 1.at n=65A014650
- Number of partitions of n in its prime divisors with at least one part of size 1.at n=65A014652
- phi(n) + 8 | sigma(n).at n=39A015799
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15).at n=66A017891
- Divisors of 996.at n=11A018765
- Numbers k such that the continued fraction for sqrt(k) has period 20.at n=17A020359
- a(n) = n^2 - phi(n)*tau(n)^2.at n=41A022157
- a(n) = n*(31*n + 1)/2.at n=8A022289
- Number of partitions of n into 5 unordered relatively prime parts.at n=34A023025
- Index of 3^n within the sequence of the numbers of the form 3^i*4^j.at n=49A025696
- Index of 3^n within the sequence of the numbers of the form 3^i*7^j.at n=58A025698
- Index of 4^n within the sequence of the numbers of the form 4^i*5^j.at n=47A025702