12354
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25920
- Proper Divisor Sum (Aliquot Sum)
- 13566
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3920
- Möbius Function
- 1
- Radical
- 12354
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically.at n=34A030299
- Numerator of integral_{x=1..2} (x^2-1)^n dx.at n=4A077745
- a(0)=0; a(1)=2. Slowest increasing sequence where every digit "d" has a copy of itself in a(n+d).at n=21A102150
- Numbers with 5 distinct digits {1,2,3,4,5} such that all adjacent digits (as well as first and last digits) are coprime.at n=1A104972
- Partial sums of A094837.at n=11A138901
- 6 times heptagonal numbers: a(n) = 3*n*(5*n-3).at n=29A153786
- Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit.at n=1A178475
- Rectangular array T(n,k) = binomial(n+1,2)*(n^k - (n-1)^k) read by antidiagonals.at n=38A178831
- Number of nondecreasing arrangements of n+3 numbers in 0..4 with each number being the sum mod 5 of three others.at n=17A183899
- G.f. A(x) satisfies: A'(x) = A(B(x)) where B'(x) = A(x) with B(0)=0 and A(0)=1.at n=8A231934
- Number of partitions of n such that (least part) < (multiplicity of greatest part).at n=45A240178
- a(n) = 2*3^n - 3*2^n.at n=8A245804
- a(n) = n*(16*n^2 - 21*n + 7)/2.at n=12A260260
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged first by number of inversions and then lexicographically.at n=34A268532
- Volatile sequence: a(n) = A018227(n)-6.at n=36A271998
- Numbers k such that k^2+1, (k+2)^2+1 and (k+6)^2+1 are prime.at n=22A302021
- Decimal representation of permutations of lengths 1, 2, 3, ...at n=42A306428
- Number T(n,k) of sets of nonempty words with a total of n letters over k-ary alphabet such that all k letters occur at least once in the set; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=31A319501
- Number of sets of nonempty words with a total of n letters over ternary alphabet such that all letters occur at least once in the set.at n=4A320204
- Concatenation of all the distinct permutations of the first 1, 2, 3, ... (strictly) positive integers, arranged in ascending numerical order.at n=34A352991