8412
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 19656
- Proper Divisor Sum (Aliquot Sum)
- 11244
- 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
- 2800
- Möbius Function
- 0
- Radical
- 4206
- 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
- 96
- Smith Number
- yes
- 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 points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.at n=29A005901
- Numerators of continued fraction convergents to sqrt(168).at n=4A041310
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 3, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1) with a(1) = a(2) = 1.at n=13A049940
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)).at n=43A052477
- Numerators of convergents to Thue-Morse constant.at n=10A085394
- Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A089864.at n=10A089402
- Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).at n=21A096926
- Least positive k such that k * [RSA-640]^n - 1 is prime, where RSA-640 is the 193 decimal digit RSA challenge number A391940(14).at n=22A108573
- McKay-Thompson series of class 18g for the Monster group.at n=52A112156
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (-1, 1, 1), (0, 0, 1), (1, 1, -1)}.at n=9A148457
- a(n) = 216*n - 12.at n=38A154518
- Number of 5-step self-avoiding walks on an n X n square summed over all starting positions.at n=10A188150
- Number of arrays of n+2 integers in -3..3 with sum zero and the sum of every adjacent pair being odd.at n=6A202071
- T(n,k)=Number of arrays of n+2 integers in -k..k with sum zero and the sum of every adjacent pair being odd.at n=42A202076
- Number of arrays of 9 integers in -n..n with sum zero and the sum of every adjacent pair being odd.at n=2A202080
- Number of Dyck n-paths all of whose ascents and descents have lengths equal to 1 (mod 5).at n=23A212364
- Expansion of Sum_{n>=1} ((n-1) * q^(n*(n+1)/2) / Product_{k=1..n} (1 - q^k)).at n=45A218074
- Smallest integer that is a sum of 2*k consecutive primes for each k = 1..n.at n=2A222592
- Abundant numbers that differ from the next abundant number by 3.at n=31A228382
- Numbers k such that Bernoulli number B_k has denominator 2730.at n=31A249134