1528
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 1352
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 760
- Möbius Function
- 0
- Radical
- 382
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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 partitions of n into nonprime parts.at n=43A002095
- Cluster series for square lattice.at n=9A003203
- Numbers that are the sum of 9 positive 6th powers.at n=20A003365
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=24A004210
- States of a dynamic storage system.at n=10A005594
- Number of n-edge 3-connected planar maps with a sense-reversing automorphism.at n=19A006445
- Expansion of (x^6-x^5-x^4+2x^2)/((1-x^3)(1-x^2)^2(1-x)).at n=43A007988
- Coordination sequence T3 for Zeolite Code LOV.at n=26A008136
- Coordination sequence for net formed by holes in D_4 lattice.at n=5A010079
- Numbers k such that phi(k) + 10 | sigma(k + 10).at n=37A015789
- Numbers k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=13A015850
- Nearest integer to Gamma(n + 3/5)/Gamma(3/5).at n=7A020038
- Ceiling of Gamma(n+3/5)/Gamma(3/5).at n=7A020128
- Numbers k such that the continued fraction for sqrt(k) has period 20.at n=38A020359
- Sum of n plus its prime factors associated with A020700.at n=12A020905
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0, a(1) = 9.at n=12A022314
- n-th 8k+1 prime plus n-th 8k+7 prime.at n=30A022761
- a(n) = a(n-1) + c(n-1) for n >= 2, a( ) increasing, given a(1)=6; where c( ) is complement of a( ).at n=49A022938
- Convolution of A000201 and A014306.at n=46A023666
- a(n) = position of 2*n^3 in A003325.at n=46A024667