11457
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
- 12
- Divisor Sum
- 17680
- Proper Divisor Sum (Aliquot Sum)
- 6223
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7128
- Möbius Function
- 0
- Radical
- 3819
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- Numbers k such that k and its reversal are both multiples of 19.at n=32A062907
- Non-palindromic number and its reversal are both multiples of 19.at n=22A062916
- Numbers n such that A001414(n) = sum of squared digits of n.at n=20A094908
- Numbers k such that 2^k - 13 is prime.at n=13A096818
- Least sum (n+1) + (n+2) + ... + (n+k) that is a multiple of the n-th triangular number, n(n+1)/2.at n=17A110351
- Odd interprimes divisible by 19.at n=34A126231
- Number of partitions of n where odd parts are distinct or repeated once.at n=40A131945
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, -1), (0, 1, -1), (1, 0, -1), (1, 1, 1)}.at n=8A149577
- a(n) = (2*n + 1)*(5*n + 6).at n=33A153127
- a(n) = (4*n + 3)*(1 + 2*n^2)/3.at n=16A168574
- a(n) = (4*n^3 - 6*n^2 + 8*n + 9 + 3*(-1)^n)/12.at n=33A168582
- Number of (n+3)X(n+3) binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=6A188096
- Number of (n+3)X10 binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock.at n=6A188103
- Number of 4-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and first differences in -n..n.at n=31A208995
- Number of (n+3) X 9 0..2 matrices with each 4 X 4 subblock idempotent.at n=7A224726
- Number of length 4+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=11A248541
- 6-step Fibonacci sequence starting with (0,1,0,0,0,0).at n=20A251709
- Expansion of chi(-x^4) * psi(x^6) / phi(-x) in powers of x where phi(), psi(), chi() are Ramanujan theta functions.at n=20A279320
- Expansion of e.g.f. Product_{i>=1, j>=1, k>=1} 1/(1 - x^(i*j*k))^(1/(i*j*k)).at n=6A318966
- Indices of records in A361321.at n=40A361326