15696
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 44330
- Proper Divisor Sum (Aliquot Sum)
- 28634
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 654
- Omega Function (Ω)
- 7
- 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
- 27
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 15 ones.at n=17A031783
- Number of 3-colored generalized Frobenius partitions of n.at n=10A053762
- Expansion of ((eta(q^2) * eta(q^14)) / (eta(q) * eta(q^7)))^3 in powers of q.at n=19A120006
- Expansion of eta(q^4) * eta(q^28) / (eta(q) * eta(q^7)) in powers of q.at n=39A123648
- Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that f(n) - floor(f(n)) < 1/10^3.at n=20A127028
- a(n) = 109*n^2.at n=12A174339
- First string of 43 consecutive composite numbers.at n=12A177949
- Expansion of q^(3/8) * eta(q)^3 / eta(q^3)^4 in powers of q.at n=30A187427
- Expansion of q^(3/8) * a(q) / eta(q^3)^3 in powers of q where a() is a cubic AGM function.at n=30A187429
- Number of nondecreasing arrangements of n numbers in -(n+3)..(n+3) with sum zero and not more than two numbers equal.at n=6A188232
- Number of nondecreasing arrangements of 7 numbers in -(n+5)..(n+5) with sum zero and not more than two numbers equal.at n=4A188240
- a(n) = 12*a(n-1) - 12*a(n-2), a(0)=0, a(1)=1.at n=5A190873
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210227; see the Formula section.at n=52A210228
- Number of partitions of n containing at least one part m-4 if m is the largest part.at n=38A212544
- a(n) = Sum_{i=0..n} digsum_8(i)^3, where digsum_8(i) = A053829(i).at n=46A231682
- Floor of sums of the squares of the non-integer cube roots of n, as partitioned by the integer roots: floor(Sum_{j=n^3+1..(n+1)^3-1} j^(2/3)).at n=8A248621
- First row of A262057.at n=45A265316
- Numbers k such that 4*10^k + 93 is prime.at n=22A281829
- Expansion of 1/sqrt((1 - x^4 - x^5)^2 - 4*x^9).at n=43A376722
- Square array read by antidiagonals: T(n,d) is the number of fixed d-dimensional polysticks of size n.at n=39A385581