13734
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
- 24
- Divisor Sum
- 34320
- Proper Divisor Sum (Aliquot Sum)
- 20586
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3888
- Möbius Function
- 0
- Radical
- 4578
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 151
- 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
- Even 9-gonal (or enneagonal) numbers.at n=31A028992
- a(n) = (2*n+1)*(7*n+1).at n=31A033572
- Numbers k such that (k, sigma(k)) lies on a circle with integral radius centered at the origin, i.e., k^2 + sigma(k)^2 is a square.at n=23A066764
- Enneagonal numbers divisible by 9.at n=14A117796
- a(n) = 686*n + 14.at n=19A157366
- Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,3,2,1,4 for x=0,1,2,3,4.at n=11A196074
- Principal diagonal of the convolution array A213590.at n=7A213504
- Number of alternating permutations on 2n+1 letters that avoid a certain pattern of length 4 (see Lewis, 2012, Appendix, for precise definition).at n=5A217801
- Triangular array read by rows: T(n,k) is the number of rooted identity trees with n nodes having exactly k subtrees from the root.at n=48A227774
- Number of rooted identity trees with n nodes and exactly 2 subtrees from the root.at n=13A227806
- Least number x such that x^n has n digits equal to k. Case k=5.at n=17A285452
- Lexicographically earliest sequence with a(n) odd digits among the first a(n+1) decimal digits, for any n; a(1) = 1, a(2) = 2.at n=33A332070
- Numbers that are the sum of four positive cubes in exactly five ways.at n=28A343986
- Numbers that are the sum of four positive cubes in five or more ways.at n=31A343987
- Primorial base Niven numbers (A333426) with a record gap to the next primorial base Niven number.at n=13A347496