12229
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13984
- Proper Divisor Sum (Aliquot Sum)
- 1755
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10476
- Möbius Function
- 1
- Radical
- 12229
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- Expansion of 1/((1-3x)(1-4x)(1-8x)).at n=4A016849
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 78 ones.at n=7A031846
- Numbers k such that 6^k - k is prime.at n=6A058829
- a(n) = 6*2^(n+1) - 5*(n+1) - 4.at n=10A114958
- Numbers k such that prime(k) = A123206(n).at n=5A126094
- 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, 0), (-1, 1, -1), (1, 0, -1), (1, 0, 1), (1, 1, 1)}.at n=7A150909
- Similar to A072921 but starting with 4.at n=44A152233
- a(n+1) = a(n) + floor(a(n)/6) with a(0) = 6.at n=52A182307
- Number of partitions of n such that 2*(least part) <= greatest part.at n=33A237821
- Number of nonnegative integers with property that their base 7/6 expansion (see A024643) has n digits.at n=52A245402
- a(n) = A289671(n)/2^f(n), where f(n) = 2*floor((n-1)/3) + ((n+2) mod 3) = A004523(n).at n=41A289677
- a(n) = A289677(3*n).at n=13A290441
- Numbers that are the sum of four positive cubes in exactly five ways.at n=21A343986
- Numbers that are the sum of four positive cubes in five or more ways.at n=22A343987
- a(n) = Sum_{k=0..n} binomial(n+2*k+2,n-k) * Fibonacci(k+1).at n=7A390827