12930
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31104
- Proper Divisor Sum (Aliquot Sum)
- 18174
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3440
- Möbius Function
- 1
- Radical
- 12930
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 24
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- From a nim-like game.at n=35A003413
- G.f.: A(x) = exp( 2*Sum_{n>=1} A006519(n)^2 * x^n/n ), where A006519(n) = highest power of 2 dividing n.at n=17A162581
- Numbers k such that k^2 +-11 are primes.at n=39A176683
- Record (maximal) gaps between prime triples (p, p+2, p+6).at n=30A201598
- Numbers n for which n' + n and n' - n are both prime, n' being the arithmetic derivative of n.at n=35A229272
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + ... + k^57 is prime.at n=36A244390
- G.f. satisfies: A(x) = (12 + A(x)^4) / (13 - 27*x).at n=5A245043
- a(n) = 108*n^2 - 228*n + 114 (n>=2).at n=10A304618
- Number of ways to write n as an ordered sum of 6 primes.at n=43A340962
- Number of partitions of n such that 4*(smallest part) = (number of parts).at n=60A350896
- Least k such that A000668(n) - k is prime, where A000668(n) is the n-th Mersenne prime.at n=24A365161