17688
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
- 6
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 48960
- Proper Divisor Sum (Aliquot Sum)
- 31272
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 4422
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 97
- 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 with multiplicative persistence value 6.at n=15A046515
- Let p1, p2 be first pair of consecutive primes with difference 2n; let p3, p4 be 2nd such pair; sequence gives "wadi" value p3-p1.at n=31A046728
- Number of primes <= the n-th Fibonacci number.at n=27A054782
- 4n^2+1, 2n^2+1, 2n^2-1 are all prime.at n=39A055755
- McKay-Thompson series of class 12e for Monster.at n=37A058493
- Engel expansion of sinh(1/2).at n=33A068379
- Self-convolution of A073711.at n=43A073712
- Number of partitions of 2*n with no part divisible by 3 and all odd parts occurring with even multiplicities.at n=30A098151
- Expansion of phi(q^3) / phi(q) in powers of q where phi() is a Ramanujan theta function.at n=30A132002
- a(n) = number of ways to dispose two pawns on a chessboard of size n X n (two dispositions are equivalent if one can be rotated or reflected to give the other one).at n=23A141582
- a(n) = 1728*n - 1320.at n=10A157263
- Numbers n with property that 4 n^2 are squares arising in A158470.at n=34A158517
- Number of primes < Fibonacci(n).at n=27A182564
- Composite numbers whose multiplicative persistence is 6.at n=14A199996
- Triangle of coefficients of polynomials u(n,x) jointly generated with A207623; see the Formula section.at n=45A207622
- a(n) = a(n-1)+a(n-2)+n-4, a(0)=0, a(1)=1.at n=24A210673
- G.f. satisfies: A(x) = 1/(1 - x/A(-x*A(x)^5)).at n=8A213226
- Number of aperiodic tilings of an n X 1 rectangle by tiles of dimension 1 X 1 and 2 X 1.at n=20A225202
- Expansion of (phi(x) / f(-x^4))^2 in powers of x where phi(), f() are Ramanujan theta functions.at n=49A227033
- Number of n X 3 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero.at n=6A231280