15035
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18816
- Proper Divisor Sum (Aliquot Sum)
- 3781
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11520
- Möbius Function
- -1
- Radical
- 15035
- Omega Function (Ω)
- 3
- 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
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).at n=33A025119
- Numerators of continued fraction convergents to sqrt(973).at n=4A042882
- Numbers whose base-4 representation contains exactly four 2's and three 3's.at n=21A045156
- Number of factorizations into distinct factors with 3 levels of parentheses indexed by prime signatures. A050349(A025487).at n=45A050350
- a(n) = p(5n+4)/5 where p(k) denotes the k-th partition number.at n=8A071734
- Largest number that is not the sum of five n-gonal numbers.at n=26A118367
- Numbers k such that the k-th triangular number contains only digits {0,1,3}.at n=11A119036
- Sum of all matrix elements of n X n Vandermonde matrix of numbers 1,2,...,n, i.e., the matrix A with A[i,j] = i^(j-1), 1 <= i <= n, 1 <= j <= n.at n=5A128884
- Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 6 ones in any 4 X 4 X 4 subtriangle.at n=9A153947
- Duplicate of A071734.at n=8A160507
- Numbers n such that 5n is a partition number.at n=13A217725
- a(n) = (2*n-1) * a(n-1) - a(n-2), a(0) = 1, a(1) = 2.at n=6A242227
- Number of partitions of n with rank a multiple of 5.at n=43A363237