12299
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14364
- Proper Divisor Sum (Aliquot Sum)
- 2065
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10500
- Möbius Function
- 0
- Radical
- 1757
- Omega Function (Ω)
- 3
- 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
- 112
- 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
- a(n) = (n + 3)*(n^2 + 6*n + 2)/6.at n=39A005286
- Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=48A036806
- RATS(2^n): Reverse Add the digits of 2^n, Then Sort: a(n) = A036839(2^n).at n=16A066713
- Centered 13-gonal numbers.at n=43A069126
- a(0) = 19; for n>0, successively subtract 5, subtract 3 and double.at n=37A106706
- 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, -1), (-1, -1, 0), (-1, 1, 0), (1, 0, 0), (1, 0, 1)}.at n=8A150030
- Number of reduced words of length n in the Weyl group A_41.at n=3A161662
- Number of partitions of n minus the number of primes <= n.at n=33A183151
- Number of 4-tuples (w,x,y,z) with all terms in {1,...,n} and w*x >= 2*y*z.at n=14A211809
- Number of partitions of n having (sum of odd parts) > (sum of even parts).at n=37A239262
- Number of partitions of n having (sum of odd parts) >= (sum of even parts).at n=37A239263
- a(n) = 3*2^n + n - 1.at n=12A275970
- Least number x such that x^n has n digits equal to k. Case k = 6.at n=16A285453
- Number of 6-element subsets of [n] having a prime element sum.at n=15A320681
- Number of integer partitions of n with different mean, median, and mode.at n=38A363720
- a(1) = 2; for n > 1, a(n) = a(n-1)*prime(n) if a(n-1)<=prime(n), otherwise a(n) = a(n-1)-prime(n).at n=43A382619