12028
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21952
- Proper Divisor Sum (Aliquot Sum)
- 9924
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 6014
- 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
- 156
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = n*(25*n + 1)/2.at n=31A022283
- Multiplicity of highest weight (or singular) vectors associated with character chi_31 of Monster module.at n=37A034419
- Numbers whose base-3 representation contains no 0's and exactly one 2.at n=43A044990
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 3.at n=15A049893
- Expansion of g.f. (1+x-x^2)/((1-x)*(1-3*x)).at n=8A052909
- Boris Stechkin's function.at n=30A055004
- S[A002808(n)] where S[] is Boris Stechkin's function (A055004) and A002808(n) are the composites.at n=20A063483
- Integers that are Rhonda numbers to base 12.at n=10A100971
- Collatz (or 3x+1) trajectory starting at 703.at n=14A161021
- Records in A119632.at n=18A210611
- Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|=|x-y|+|y-z|.at n=26A212575
- Sum of divisors of n and product of divisors of n are both perfect cubes.at n=4A244428
- Largest order of a rooted tree that does not contain a rooted caterpillar subtree of order n.at n=25A253062
- Numbers k such that 9*10^k + 67 is prime.at n=16A294679
- Sum of the squarefree parts of the partitions of n into 10 parts.at n=30A309486
- Indices of records in A347113.at n=24A347308