6351
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8880
- Proper Divisor Sum (Aliquot Sum)
- 2529
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- -1
- Radical
- 6351
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 199
- 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
- no
- Odd
- yes
Appears in sequences
- Pisot sequence E(7,15), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].at n=9A014001
- Self-convolution of natural numbers >= 3.at n=28A023551
- Least k such that the first k terms of A006928 contain n more 2's than 1's.at n=4A025507
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 7 (most significant digit on right).at n=11A029500
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 25.at n=31A031523
- a(n) = n-th prime number * n-th lucky number.at n=20A032601
- Number of true prime powers whose binary order, ceiling(log_2(p^x)), is n.at n=35A036380
- a(1) = 5; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=42A046255
- a(1) = 9; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=37A046259
- McKay-Thompson series of class 31A for Monster.at n=32A058628
- Integers whose set of prime factors (taken with multiplicity) uses each digit exactly once (i.e., is pandigital) in some base b > 1. Numbers are expressed in base 10.at n=32A058760
- Number of set partitions up to rotations and reflections.at n=9A084708
- Sum of the first n pairs of consecutive primes (for example, a(3) = (2+3) + (3+5) + (5+7) = 25).at n=39A102724
- Matrix logarithm of triangle A111544.at n=49A111549
- Let T(S,Q) be the sequence obtaining by starting with S and repeatedly reversing the digits and adding Q to get the next term. This is T(1016,5), the first S for which T(S,5) reaches a cycle of length 36.at n=14A118879
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=23A132184
- Numbers that are not the sum of three positive squares or cubes (which can be a mix of squares and cubes).at n=48A135693
- Numbers of the form 110 + p^2. (where p is a prime).at n=21A138693
- a(n) = (10*n+3)*(10*n+17).at n=7A152579
- Sequence such that the Hankel transform of a(n+1) satisfies a generalized Somos-4 recurrence.at n=8A160702