15400
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 44640
- Proper Divisor Sum (Aliquot Sum)
- 29240
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 770
- Omega Function (Ω)
- 7
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 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
- Convolution of natural numbers with Beatty sequence for tau^2 A001950.at n=31A023542
- 2nd elementary symmetric function of the first n+1 positive integers congruent to 2 mod 3.at n=9A024391
- Number of partitions of { 1, 2, ..., 3n } into sets of size 3.at n=4A025035
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 11 (most significant digit on left).at n=38A029456
- Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers).at n=28A031174
- Number of ways to place a non-attacking white and black queen on n X n chessboard.at n=11A035291
- Shapes of height-balanced AVL trees of height at most 5 with n nodes.at n=23A036662
- McKay-Thompson series of class 36D for the Monster simple group.at n=44A058647
- Triangle of Stirling numbers of order 3.at n=21A059022
- a(n+1) = a(n)-th composite number, with a(1) = 11.at n=34A059407
- Tenth column (m=9) of convolution triangle A059594(n,m).at n=6A059598
- Square array read by antidiagonals downwards: T(n,k) = (n*k)!/(k!^n*n!), (n>=1, k>=1), the number of ways of dividing nk labeled items into n unlabeled boxes with k items in each box.at n=18A060540
- Triangular numbers that remain triangular when the least significant digit is moved to the beginning.at n=12A068071
- a(1) = 1, a(n) = smallest triangular number of the form k*a(n-1) + 1 for some positive integer k.at n=6A068082
- Triangular numbers with sum of digits = 10.at n=23A068129
- Triangular numbers which are products of triangular numbers larger than 1.at n=20A068143
- Triangular numbers of the form 10*k.at n=34A069498
- Triangular numbers whose digit permutations yield at least two further triangular numbers.at n=10A069674
- Triangular numbers which are 7-almost primes.at n=8A076581
- a(n) = (4*n-1)! / (n! * n! * n! * (n-1)! * 3!).at n=2A082368