12430
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24624
- Proper Divisor Sum (Aliquot Sum)
- 12194
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4480
- Möbius Function
- 1
- Radical
- 12430
- 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
- 63
- 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
- Expansion of Product_{m>=1} (1+q^m)^(-4).at n=26A022599
- Positive numbers k such that k and 3*k are anagrams in base 6 (written in base 6).at n=7A023065
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=40A039880
- Triangle T(n,k) read by rows: number of lattice paths from (0,0) to (0,2n) with steps (1,1) or (1,-1) that stay between the lines y=0 and y=k.at n=40A101475
- Numbers n such that Maple 9.5, Maple 10, Maple 11 and Maple 12 give the wrong answers for the number of partitions of n.at n=3A110375
- McKay-Thompson series of class 24E for the Monster group.at n=26A112160
- Numbers k such that the fractional part of (3/2)^k is less than 1/k.at n=8A153662
- Numbers n such that 2^n'-1 is prime, where n' is the arithmetic derivative of n.at n=18A189992
- Numbers whose digits are a permutation of (0,...,m) for some m.at n=35A199168
- Number of nX3 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.at n=15A201379
- Expansion of (phi(x) / f(-x^4))^2 in powers of x where phi(), f() are Ramanujan theta functions.at n=52A227033
- Number of length 2+2 0..n arrays with some pair in every consecutive three terms totalling exactly n.at n=20A245871
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 324", based on the 5-celled von Neumann neighborhood.at n=38A271257
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 393", based on the 5-celled von Neumann neighborhood.at n=27A271604
- Starting with a(1) = 0, a(2) = 1, a(n) = smallest nonnegative integer that shares all digits with previous terms. No repeated digits are allowed.at n=36A297062
- Starting with a(1) = 0, a(2) = 1, a(n) = smallest nonnegative integer not yet in the sequence that shares all digits with previous terms.at n=43A297065
- Even numbers k such that A103230(k) is a perfect square.at n=32A332531
- Expansion of the o.g.f. (1 + 8*x + 10*x^2 + 8*x^3 + x^4)/((1 - x)^4*(1 + x)^2).at n=21A342362
- Number of polygons formed outside a regular n-gon when every pair of vertices of the n-gon are joined by an infinite line.at n=21A344311
- a(n) = (prime(n)+1) * prime(n+1).at n=28A345727