6372
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 10428
- 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
- 2088
- Möbius Function
- 0
- Radical
- 354
- Omega Function (Ω)
- 6
- 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
- 124
- 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
- Coordination sequence for {A_5}* lattice.at n=7A008533
- Number of lines through exactly 3 points of an n X n grid of points.at n=22A018810
- Number of partitions of n into parts of 6 kinds.at n=7A023005
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=13A039624
- Numbers having three 4's in base 8.at n=35A043439
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=33A045013
- Numbers k such that 255*2^k-1 is prime.at n=32A050886
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=32A060672
- Numbers k such that sigma(k) = 2*usigma(k).at n=17A063880
- a(n) is the (n+1)st (n+2)-gonal number.at n=23A064808
- Nonprimes which terminate in their sum of prime factors.at n=27A071173
- a(n) = ((3*n + 1)*2^(n+3) + 9 + (-1)^n)/18.at n=9A102301
- G.f. satisfies: A(x) = (1 + x*(d/dx x*A(x)) )^2.at n=5A113662
- Largest number k for which the n-th prime is the median of the largest prime dividing the first k integers.at n=34A126283
- Number of different values of i^2+j^2+k^2+l^2+m^2 for i,j,k,l,m in [0,n].at n=38A132432
- a(n) = n*(5*n-3).at n=36A135706
- Composite numbers n such that the sum of prime factors of n (counted with multiplicity) terminates n as a substring.at n=26A143993
- Lower triangular array called S1hat(1) related to partition number array A107106.at n=47A144351
- Third column (m=3) of triangle A144351.at n=7A144352
- Twice 11-gonal numbers: a(n) = n*(9*n-7).at n=27A152995