12483
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
- 12
- Divisor Sum
- 19240
- Proper Divisor Sum (Aliquot Sum)
- 6757
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7776
- Möbius Function
- 0
- Radical
- 4161
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n(n+2)(2n+1)/8).at n=36A002717
- Divisors of 2^18 - 1.at n=26A003528
- Numbers k such that k divides 4^k - 1.at n=45A014945
- Number of partitions of n into parts of 9 kinds.at n=6A023008
- Numbers k such that k^2 is palindromic in base 8.at n=39A029805
- Numbers in which all pairs of consecutive base-8 digits differ by 3.at n=50A033079
- Base 8 palindromes that start with 3.at n=21A043023
- Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=3A045084
- Numbers n such that n^2 - 1 is expressible as the sum of two nonzero squares in exactly one way.at n=33A050797
- a(n) = (2^n - 1)/product(2^p - 1) where the product is over all distinct primes p that divide n.at n=17A055515
- Numbers k such that phi(k) is a perfect 5th power.at n=35A078165
- For n>3, a(n) is the number of elements in the Coxeter complex of type D_n (although the sequence starts at n=0. See comments below for precise explanation).at n=5A080254
- Base 10 numbers that are palindromic in bases 2 and 4.at n=38A097856
- Number of ordered triples (i,j,k) with |i| + |j| + |k| <= n and gcd(i,j,k) <= 1.at n=22A100450
- Numbers k such that 13*k = A048720(29,k), where A048720 is carryless base-2 multiplication.at n=42A115805
- A modified Legendre-binomial transform of 4^n for p=3.at n=7A117984
- G.f.: A(x) = 1/(1 - x*B(x^2)), where B(x) = Sum_{n>=0} a(n)^2*x^n is the g.f. of A121648.at n=18A121649
- A bisection of A121649; a(n) = A121649(2*n) = A121648(2*n)^(1/2).at n=9A121650
- Odd interprimes divisible by 19.at n=36A126231
- a(n) = n*(n+1)*(4*n+1)/2.at n=18A135713