15897
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24256
- Proper Divisor Sum (Aliquot Sum)
- 8359
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9072
- Möbius Function
- -1
- Radical
- 15897
- 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
- 53
- 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
- Let F(x) = 1 + x + 4x^2 + 10x^3 + ... = g.f. for A000293 (solid partitions) and expand (1-x)(1-x^2)(1-x^3)...*F(x) in powers of x.at n=14A002836
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 12.at n=21A031690
- In ternary expansion of n, reading from right to left, digits occur in order ...,0,1,2,0,1,2,...at n=18A037078
- Base 3 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0.at n=8A037520
- Odd numbers with only palindromic prime factors whose sum is palindromic (counted with multiplicity).at n=39A046356
- Expansion of (1-x)/(1-x-x^2-x^3+x^4).at n=20A052527
- Numerator of sigma_3(n)/sigma(n).at n=44A091259
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 1), (0, 1), (1, -1), (1, 0)}.at n=9A151439
- a(n) = 36*n^2 + n.at n=20A157324
- a(n) = 441*n^2 + 21.at n=6A158603
- Number of n X 3 1..3 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in increasing order.at n=8A166819
- Numbers k such that, taken together, the base-10 and base-b expansions of k are pandigital for some b < 10.at n=2A174596
- Number of nondecreasing arrangements of n+2 numbers in 0..8 with the last equal to 8 and each after the second equal to the sum of one or two of the preceding three.at n=33A190040
- a(n) is the number of prime sets such that each set contains enough prime numbers to decompose every even number from 6 to 2n into the sum of two of its elements (reuse allowed), while none of the sets is a subset of another such set.at n=57A237638
- Number of partitions of n such that the number of parts having multiplicity >1 is not a part and the number of distinct parts is a part.at n=46A241410
- Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 6.at n=36A244460
- Expansion of (1+4*x+8*x^2+8*x^3+7*x^4+4*x^5+2*x^6) / (1-x-7*x^2-12*x^3-6*x^4-7*x^5-4*x^6-2*x^7).at n=7A275909
- Partial sums of A294016.at n=40A294017