13569
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18096
- Proper Divisor Sum (Aliquot Sum)
- 4527
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9044
- Möbius Function
- 1
- Radical
- 13569
- 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
- 37
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=37A020439
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.at n=36A032701
- a(n) = a(n-1) + 2*a(floor(n/2)) if n > 0, otherwise 1.at n=28A058039
- Triangle, read by rows, given by [0,1,1,1,1,1,1,1,...] DELTA [1,0,1,0,2,0,3,0,4,0,5,0,6,0,...] where DELTA is the operator defined in A084938.at n=50A173050
- 1/4 the number of arrangements of n+1 nonzero numbers x(i) in -3..3 with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero.at n=5A189945
- T(n,k)=1/4 the number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero.at n=33A189951
- 1/4 the number of arrangements of 7 nonzero numbers x(i) in -n..n with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero.at n=2A189956
- The number of maximal subsemigroups of the Jones monoid on the set [1..n].at n=20A290140
- Least nonnegative difference between two numbers whose digits are all taken from a cumulative list of n mod 10 (see example).at n=12A317231
- Number of maximal subsets of {1..n} containing n such that every subset has a different sum.at n=34A325867
- Numbers k such that k divides A340740(k).at n=10A342503
- Number of finite sequences of distinct integer partitions with total sum n.at n=12A358906