6312
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15840
- Proper Divisor Sum (Aliquot Sum)
- 9528
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2096
- Möbius Function
- 0
- Radical
- 1578
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- yes
- Odd
- no
Appears in sequences
- Number of shapes of height-balanced AVL trees with n nodes.at n=18A006265
- Coordination sequence for sigma-CrFe, Position Xf.at n=20A009958
- Shapes of height-balanced AVL trees of height at most 5 with n nodes.at n=19A036662
- Positive numbers having the same set of digits in base 6 and base 8.at n=42A037435
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=18A045051
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^16 in powers of x.at n=6A047641
- Sum of a(n) terms of 1/k^(6/7) first exceeds n.at n=18A056183
- Numbers k that divide the number of partitions of k into distinct parts (A000009).at n=12A056848
- Numbers n > 13 such that x^n + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=31A057489
- A sequence related to numeric partitions and Fermat Coefficients.at n=12A059251
- Numbers which are the sum of their proper divisors containing the digit 5.at n=7A059464
- Numbers n such that n | p(n)*q(n), where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009).at n=41A060744
- Harshad numbers which terminate in their digital sum.at n=35A070938
- Number of 6-ary Lyndon words of length n with trace 0 and subtrace 2 over Z_6.at n=7A074424
- Number of 6-ary Lyndon words of length n with trace 2 and subtrace 0 over Z_6.at n=7A074434
- a(1) = 1, a(n+1) is the smallest number such that there are n primes between a(n) and a(n+1) exclusive.at n=40A075342
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={0,1}.at n=18A080007
- Successively larger 3-ball ground-state site swaps of A084501 in concatenated decimal notation.at n=29A084502
- Successively larger 3-ball indecomposable ground-state site swaps of A084511 in concatenated decimal notation.at n=14A084512
- Successively larger 3-ball 'prime' ground-state site swaps of A084521 in concatenated decimal notation.at n=13A084522