13453
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14688
- Proper Divisor Sum (Aliquot Sum)
- 1235
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12220
- Möbius Function
- 1
- Radical
- 13453
- Omega Function (Ω)
- 2
- 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
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- a(1) = 1; a(n+1) = floor((sum{k=1 to n} a(k)^3)^(1/3)).at n=49A016085
- Numbers k such that k!!! + 1 is prime (0 is included by convention).at n=33A037083
- Numerators of continued fraction convergents to sqrt(538).at n=5A042028
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=44A051965
- Square array read by antidiagonals with T(n,k)=T(n,k-1)^2-n*T(n,k-1)+1 and T(n,0)=0.at n=49A060137
- a(n) = 961*n - 1.at n=13A158412
- a(n) = 14*n^2 - 1.at n=30A158485
- Triangle T(n, k) = 1 + abs(n! - k!)*abs(n! - (n-k)!), read by rows.at n=17A172177
- Triangle T(n, k) = 1 + abs(n! - k!)*abs(n! - (n-k)!), read by rows.at n=18A172177
- Numbers n such that n^10+10 is prime.at n=22A239347
- Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=25A254906
- Sum of the lengths of the arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2.at n=35A264100
- Digitally balanced numbers (A031443) whose squares and cubes are also digitally balanced.at n=1A353140
- Records in A360519.at n=34A361107
- Number of partitions of n whose least part is a multiple of 4.at n=64A363095
- Smallest k such that A073734(k) = n, where A073734 is the GCD of consecutive terms of the EKG sequence A064413.at n=33A382222