13941
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 20150
- Proper Divisor Sum (Aliquot Sum)
- 6209
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9288
- Möbius Function
- 0
- Radical
- 4647
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 182
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9).at n=48A017840
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=30A031830
- Sum of a(n) terms of 1/k^(5/6) first exceeds n.at n=24A056181
- Centered 17-gonal numbers: (17*n^2 - 17*n + 2)/2.at n=40A069130
- a(n) = A078274(n)/11.at n=2A078277
- a(n) = T(n) concatenated with reverse(T(n)) divided by 11, where T(n) is the n-th triangular number.at n=17A084008
- a(n) = 8*n^2 - 4*n - 3.at n=41A118057
- Numerators of partial sums of a series used for the series of sqrt(2) + sqrt(3) involving Catalan numbers.at n=3A121504
- a(n) = (n^8 - 60*n^6 + 90*n^5 + 1160*n^4 - 3204*n^3 - 5349*n^2 + 26586*n - 23760)/24.at n=3A135923
- Partial sums of number of different shapes formed by bending a piece of wire of length n in the plane A066372.at n=17A178937
- a(n) = 12*n^2 + 2*n + 1.at n=34A194454
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical, diagonal or antidiagonal neighbor, and containing the value n(n+1)/2-2.at n=17A211911
- Numbers with 3 or more prime factors (with multiplicity) such that every concatenation of their prime factors is prime.at n=15A217264
- Solution of the complementary equation a(n) = 2*a(n-2) - b(n-2) + n, where a(0) = 3, a(1) = 4, b(0) = 1, and (a(n)) and (b(n)) are increasing complementary sequences.at n=25A295069
- a(n) is the smallest k such that the sum of the first k primes is >= 10^n.at n=9A323362
- a(n) is the number of vertices formed by n-secting the angles of a nonagon (enneagon).at n=28A335782
- Expansion of x*(2 - x - x^2 - 2*x^3)/(1 - x - x^2)^2.at n=16A339610
- Expansion of e.g.f. 1/(2 - exp(x) - x/(1 - x)).at n=5A352292