12348
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 36400
- Proper Divisor Sum (Aliquot Sum)
- 24052
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3528
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5)*floor((n+4)/5).at n=33A008382
- Number of compositions of n into 7 ordered relatively prime parts.at n=11A023032
- Numbers of form 6^i*7^j, with i, j >= 0.at n=18A025626
- Arrange digits of cubes in ascending order.at n=24A032553
- a(n) = 7*n^2.at n=42A033582
- Decimal part of n-th root of a(n) starts with digit 4.at n=26A034081
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*9^j.at n=11A038275
- Triangle whose (i,j)-th entry is binomial(i,j)*9^(i-j)*7^j.at n=13A038297
- Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=2A045084
- Expansion of e.g.f. log(1/(1-x))*x/(1-x).at n=7A052881
- Third column of triangle A055864.at n=5A055070
- a(n) = 7*a(n-1) + (-1)^n * binomial(2,2-n) with a(-1)=0.at n=5A055270
- Coefficient triangle for certain polynomials.at n=17A055864
- Triangle of numbers related to rooted trees and unrooted planar trees.at n=22A056856
- a(n) = 28*n^2.at n=21A064763
- Numbers k having a partition k=Sum x_i for which Product k/x_i is also a way of factoring k.at n=43A068349
- Numbers whose product of exponents is equal to the sum of prime factors.at n=21A071175
- Expansion of Lambert W function in powers of log(log(x))/log(x).at n=22A073315
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=18A077096
- Partial sums of A038580.at n=17A086749