96
domain: N
Properties
Digital Properties
- Digit Count
- 2
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 252
- Proper Divisor Sum (Aliquot Sum)
- 156
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 32
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 6
- 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
- 12
- Smith Number
- no
Classification
- Natural
- yes
- Even
- yes
- Odd
- 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
- yes
- Carmichael Number
- no
Names
- German
- sechsundneunzig· ordinal: sechsundneunzigste
- English
- ninety-six· ordinal: ninety-sixth
- Spanish
- noventa y seis· ordinal: 96º
- French
- quatre-vingt-seize· ordinal: quatre-vingt-seizième
- Italian
- novantasei· ordinal: 96º
- Latin
- nonaginta sex· ordinal: 96.
- Portuguese
- noventa e seis· ordinal: 96º
Appears in sequences
- Let k = p_1^e_1 p_2^e_2 p_3^e_3 ... be the prime factorization of n. Sequence gives k such that the sum of the numbers of 1's in the binary expansions of e_1, e_2, e_3, ... is odd.at n=44A000028
- Numbers that are not squares (or, the nonsquares).at n=86A000037
- 1-digit numbers arranged in alphabetical order, then the 2-digit numbers arranged in alphabetical order, then the 3-digit numbers, etc.at n=52A000052
- Local stops on New York City 1 Train (Broadway-7 Avenue Local) subway.at n=12A000053
- Local stops on New York City A line subway.at n=10A000054
- Generalized tangent numbers d(n,1).at n=35A000061
- Generalized tangent numbers d(n,1).at n=40A000061
- A Beatty sequence: a(n) = floor(n/(e-2)).at n=68A000062
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=7A000082
- a(n) = floor(n^(3/2)).at n=21A000093
- Number of transformation groups of order n.at n=41A000113
- Number of transformation groups of order n.at n=61A000113
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=13A000114
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=14A000114
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=6A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=11A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=12A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=24A000118
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=48A000118
- a(n) = sigma(n), the sum of the divisors of n. Also called sigma_1(n).at n=41A000203