12573
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
- 19968
- Proper Divisor Sum (Aliquot Sum)
- 7395
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7560
- Möbius Function
- 0
- Radical
- 4191
- 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
- 107
- Smith Number
- yes
- 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
- Expansion of 1/((1-2x)(1-9x)(1-10x)(1-12x)).at n=3A028022
- Numbers k such that k^18 == 1 (mod 19^3).at n=31A056089
- Trajectory of 22 under the Reverse and Add! operation carried out in base 2.at n=17A061561
- Number of unimodal partitions/compositions of n into distinct terms.at n=37A072706
- a(0)=0. a(n) = a(n-1) + sum of positive integers which are <= n and not part of the sequence.at n=43A129694
- Ulam's spiral (WNW spoke).at n=28A143859
- Riordan matrix (1/(1-x-x^2),x/(1-x-x^2)^2).at n=59A152440
- a(n) = 12*a(n-1)-33*a(n-2) for n > 1; a(0) = 5, a(1) = 33.at n=4A162816
- Long legs of primitive Pythagorean triples (a,b,c) for which 2a+1, 2b+1 and 2c+1 are primes.at n=31A165237
- a(n) = 6*a(n-1)-8*a(n-2)-9 for n > 2; a(0) = 35, a(1) = 225, a(2) = 837.at n=4A171471
- Numbers k such that sopfr(k + omega(k)) = sopfr(k), where sopfr(i) = A001414(i) and omega(i) = A001221(i).at n=16A187878
- Number of nX2 0..2 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.at n=17A201426
- Number of nondecreasing sequences of n 1..7 integers with no element dividing the sequence sum.at n=18A212867
- Trajectory of 26 under the Reverse and Add! operation carried out in base 2.at n=15A213012
- Numbers n for which the alternating sum of the digits of n^n is 0.at n=25A244212
- Number of (n+2)X(n+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=6A252953
- Number of (n+2) X (7+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=6A252960
- Number of (7+2)X(n+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=6A252968
- Numbers k such that sopfr(k) = tau(k)^2.at n=9A305026
- Sum of the heights of all Motzkin paths of length n.at n=11A333498