12533
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 235
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12300
- Möbius Function
- 1
- Radical
- 12533
- 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
- 125
- 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
- Partial sums of A001935; at one time this was conjectured to agree with A007478.at n=34A014605
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 22.at n=39A051963
- Integers n > 10553 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 10553.at n=2A063061
- Number of conjugacy classes in the symmetric group S_n with distinct cardinality.at n=40A073906
- Numbers n such that (5+n!)/5 is prime.at n=18A139058
- a(0)=4; a(n)=n^2+a(n-1) for n>0.at n=33A153058
- Partial sums of the Floor-Sqrt transform of Catalan numbers.at n=16A192633
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 421", based on the 5-celled von Neumann neighborhood.at n=25A272051
- a(n) is the first number k such that the continued fraction for prime(k)/k has length n.at n=17A368882
- Number of integer partitions of n that can be partitioned into sets with distinct sums.at n=37A381992