1008
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 3224
- Proper Divisor Sum (Aliquot Sum)
- 2216
- 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
- 288
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 111
- Smith Number
- no
- Vampire 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
Appears in sequences
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=50A000114
- Number of symmetric foldings of a strip of n blank stamps.at n=15A001010
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=36A001082
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=42A001172
- Double-bitters: only even length runs in binary expansion.at n=28A001196
- Coordination sequence for hyperbolic tessellation 3^7 (from triangle group (2,3,7)).at n=6A001354
- Related to Latin rectangles.at n=4A001627
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=13A001766
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=36A001859
- Highly abundant numbers: numbers k such that sigma(k) > sigma(m) for all m < k.at n=43A002093
- Numerators of convergents to cube root of 4.at n=9A002356
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=15A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=15A002706
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=47A002789
- Values of phi(k) when phi(k) = phi(k+1).at n=10A003275
- Numbers that are the sum of 2 positive cubes.at n=42A003325
- Numbers that are the sum of 9 positive 5th powers.at n=35A003354
- Numbers that are a sum of distinct positive cubes in more than one way.at n=38A003998
- Theta series of D_4 lattice; Fourier coefficients of Eisenstein series E_{gamma,2}.at n=41A004011
- Number of phylogenetic trees with n labels.at n=5A005805