17732
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 37632
- Proper Divisor Sum (Aliquot Sum)
- 19900
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7200
- Möbius Function
- 0
- Radical
- 8866
- Omega Function (Ω)
- 5
- 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
- 141
- 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
- a(n) = n*(5*n^2 - 2)/3.at n=22A004466
- a(n) = floor(n*phi^15), where phi is the golden ratio, A001622.at n=13A004930
- a(n) = round(n*phi^15), where phi is the golden ratio, A001622.at n=13A004950
- Number of n-dimensional partitions of 5.at n=21A008779
- a(n) = [ a(n-1)/a(1) + a(n-1)/a(2) + ... + a(n-1)/a(n-1) ] for n >= 3, with initial terms 1,1.at n=11A022854
- Convolution of A000201 with itself.at n=33A023663
- Number of partitions of n into parts not of the form 15k, 15k+4 or 15k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=40A035958
- Sums of 5 distinct powers of 4.at n=34A038473
- Number of symmetric nonnegative integer 8 X 8 matrices with sum of elements equal to 4*n, under action of dihedral group D_4.at n=12A054498
- a(n) = n + Fibonacci(n+1).at n=21A081659
- Numbers with exactly one arithmetic progression of four successive divisors (not necessarily consecutive).at n=16A094530
- a(n) = floor(Fibonacci(n)/n).at n=28A127884
- Measures of entanglement in 3-qbits.at n=20A129548
- a(n) = round(Fibonacci(prime(k))/prime(k)), where k = A119984(n).at n=7A134789
- Floor(prime Fibonacci(Prime(k))/Prime(k)).at n=7A134790
- Numerator of Euler(n, 4/17).at n=4A156544
- a(n,k) equals the number of semistandard Young tableaux with shape of a partition of n and maximal element <= k.at n=69A191714
- Multiples of 682.at n=26A200860
- Fibonacci-Legendre quotients: (Fibonacci(p) - L(p/5)) / p, where p = prime(n) and L(p/5) is the Legendre symbol.at n=9A222361
- Numbers n having at least two distinct symmetrical pairs of divisors (a, b) and (b', a') such that n = a*b = b'*a' with a' = reverse(a) and b' = reverse(b).at n=32A228164