13840
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 32364
- Proper Divisor Sum (Aliquot Sum)
- 18524
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5504
- Möbius Function
- 0
- Radical
- 1730
- Omega Function (Ω)
- 6
- 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
- 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
- a(n) = n*(27*n + 1)/2.at n=32A022285
- Occurrences of most frequently occurring number in 1-to-n 5-dimensional multiplication table.at n=23A057344
- Occurrences of most frequently occurring number in 1-to-n 5-dimensional multiplication table.at n=24A057344
- Occurrences of most frequently occurring number in 1-to-n 5-dimensional multiplication table.at n=25A057344
- Numbers m such that 2^m reversed is prime.at n=28A057708
- Number of n-digit 4th powers.at n=17A102831
- Least multiple of prime(n) ending in digits of n.at n=36A114012
- Numbers k such that phi(k) + prime(k) is a triangular number.at n=40A115908
- Binomial transform of [1, 7, 17, 17, 6, 0, 0, 0, ...].at n=14A132117
- Number of permutations of 4 indistinguishable copies of 1..n with exactly 4 adjacent element pairs in decreasing order.at n=2A151642
- a(n) = 512n + 16.at n=26A157475
- (A178476(n)-3)/9.at n=9A178486
- Triangle in which the g.f. for row n is [Sum_{k>=0} C(n+k-1,k)^3*x^k]*(1-x)^(3n+1), read by rows of k=0..2n terms.at n=20A181544
- Central terms of triangle A181544.at n=4A183204
- a(n) = n*(3*n^2 + 6*n + 1).at n=16A196507
- Numbers n such that n^16+1 and (n+2)^16+1 are both prime.at n=26A217991
- Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(4*n+1,i) * binomial(k+4-i,4)^n, 0 <= k <= 4*(n-1).at n=10A236463
- Number of ways to choose three distinct points from a 4 X n grid so that they form an isosceles triangle.at n=46A271913
- Numbers k such that (14*10^k + 61)/3 is prime.at n=21A285378
- Number of (not necessarily maximal) cliques in the n X n king graph.at n=37A295906