1284
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
- 3024
- Proper Divisor Sum (Aliquot Sum)
- 1740
- 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
- 424
- Möbius Function
- 0
- Radical
- 642
- 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
- 26
- 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
- Moser-de Bruijn sequence: sums of distinct powers of 4.at n=50A000695
- A self-generating sequence: a(1)=1, a(2)=2, a(n+1) chosen so that a(n+1)-a(n-1) is the first number not obtainable as a(j)-a(i) for 1<=i<j<=n.at n=40A001149
- Generalized sum of divisors function.at n=31A002130
- Numbers that are the sum of 9 nonzero 8th powers.at n=5A003387
- Numbers k such that k^8 + 1 is prime.at n=50A006314
- Series for first parallel moment of hexagonal lattice.at n=5A006736
- Number of strictly 2-dimensional polyominoes with n cells.at n=8A006765
- Numbers k such that phi(x) = k has exactly 3 solutions.at n=46A007367
- Coordination sequence T3 for Zeolite Code DOH.at n=22A008080
- Coordination sequence T1 for Zeolite Code GME and AFX.at n=27A008110
- Number of partitions of n into parts >= 3.at n=38A008483
- Number of equilibrium configurations for n bodies, each with a radial force from the center, with an opposite force acting radially from center of configuration.at n=5A008858
- a(n) is the concatenation of n and 7n.at n=11A009441
- Coefficients in expansion of sqrt(2) as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=38A011193
- a(n) = floor(n*(n-1)*(n-2)/21).at n=31A011903
- Number of ordered 5-tuples of integers from [ 2,n ] with no common factors among triples.at n=11A015657
- phi(n) + 8 | sigma(n).at n=46A015799
- Coordination sequence T4 for Zeolite Code TER.at n=24A016436
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DOH = Dodecasil 1H [Si34O68].qR starting with a T2 atom.at n=10A019114
- a(n) = floor(3rd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=7A025213