6378
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 6390
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2124
- Möbius Function
- -1
- Radical
- 6378
- 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
- 124
- 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
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=55A000009
- Expansion of Product_{m>=1} (1+x^m)^3.at n=17A022568
- Numbers k such that 87*2^k+1 is prime.at n=21A032393
- Numbers having three 6's in base 9.at n=31A043479
- Number of equilateral triangles formed out of matches that can be found in a hexagonal chunk of side length n in hexagonal array of matchsticks.at n=12A045949
- Consider a room of size r X s where rs = 2n and 1 <= r <= s; count ways to arrange n Tatami mats in room; a(n) = total number of ways for all choices of r and s. Two arrangements are considered the same if one is a rotation or reflection of the other.at n=24A052270
- Number of level partitions of n.at n=55A053197
- McKay-Thompson series of class 18C for the Monster group.at n=38A058533
- McKay-Thompson series of class 36A for Monster.at n=38A058644
- Number of distinct partitions of Fibonacci(n).at n=10A072241
- Number of ways to partition 2n+1 into distinct positive integers.at n=27A078408
- Number of ways to partition 4*n+3 into distinct positive integers.at n=13A078410
- Number of (undirected) Hamiltonian paths on the 4 X n knight graph.at n=6A079137
- Number of partitions of the n-th decimal palindrome into distinct integers.at n=14A091583
- Number of A095319-primes in range ]2^n,2^(n+1)].at n=16A095329
- Number of A095315-primes in range ]2^n,2^(n+1)].at n=16A095335
- Number of palindromic and unimodal compositions of n. Equivalently, the number of orbits under conjugation of even nilpotent n X n matrices.at n=54A096441
- Number of distinct partitions of triangular numbers n*(n+1)/2.at n=10A104383
- Numbers whose cubes are exclusionary: numbers k such that k has no repeated digits and k and k^3 have no digits in common.at n=40A112994
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 9 multiples of n-1, n-2, ..., 1, for n>=1.at n=38A113746