17644
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 33768
- Proper Divisor Sum (Aliquot Sum)
- 16124
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8000
- Möbius Function
- 0
- Radical
- 8822
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Number of series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=33A001860
- Numbers n such that sum of cubes of even digits of n equals sum of cubes of odd digits of n.at n=11A076165
- Numbers k such that binomial(3k, k) + 1 is prime.at n=25A125221
- Number of (n+1)X(1+1) 0..2 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock.at n=3A237077
- Number of (n+1)X(4+1) 0..2 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock.at n=0A237080
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock.at n=6A237082
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock.at n=9A237082
- Numbers n such that Bernoulli number B_{n} has denominator 690.at n=29A272186
- Numbers k such that (25*10^k + 71)/3 is prime.at n=21A281168
- Number of (undirected) paths in the ladder graph P_2 X P_n.at n=9A288516
- Expansion of e.g.f. 1 / (1 + 4 * log(1 - x))^(1/4).at n=5A347016
- Number of Dyck paths of semilength n such that neighboring peaks differ in height by exactly one and first and last peak are at height one.at n=22A371727