16632
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 64
- Divisor Sum
- 57600
- Proper Divisor Sum (Aliquot Sum)
- 40968
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 462
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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) = binomial(2*n+1,n)*(n+1)^2.at n=5A002544
- Unitary harmonic numbers (those for which the unitary harmonic mean is an integer).at n=14A006086
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=32A024600
- Positive numbers k such that (k+1)*(k+2)*(k+3)*(k+4)/(k+(k+1)+(k+2)+(k+3)+(k+4)) is an integer.at n=24A032795
- Composite numbers divisible by the palindromic sum of their prime factors (counted with multiplicity).at n=28A046358
- Composite numbers divisible by the palindromic sum of their palindromic prime factors (counted with multiplicity).at n=16A046366
- Coefficient triangle of certain polynomials N(5; m,x).at n=33A062190
- T(n,k) = binomial(n,k)*binomial(n+k,k), 0 <= k <= n, triangle read by rows.at n=33A063007
- Sum of all parts of all partitions of n.at n=21A066186
- One half of product of first n+1 Lucas numbers A000032.at n=6A070825
- Triangle of coefficients of Bateman polynomial n!Z_n(-x).at n=26A073768
- Numbers k not in A065036 but such that tau(k) = omega(k)^3.at n=13A074853
- Seventh column of triangle A075501.at n=2A075920
- (n / product of digits of n) is a semiprime.at n=38A085773
- T(n,k) = binomial(n,2*k)*binomial(2*k,k) for 0 <= k <= n, triangle read by rows.at n=83A089627
- a(n) = S3(n,3), where S3(n, t) = Sum_{k=0..n} k^t *(Sum_{j=0..k} binomial(n,j))^3.at n=3A089671
- Triangle read by rows, defined by T(n,k) = C(n,k)*S2(n,k), 0 <= k <= n, where C(n,k) are the binomial coefficients and S2(n,k) are the Stirling numbers of the second kind.at n=52A090683
- Numbers that can be expressed as the difference of the squares of primes in exactly seven distinct ways.at n=4A092003
- Products x*y*z arising from A102495.at n=27A102509
- Products x*y*z arising from A102505.at n=20A102793