6244
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12544
- Proper Divisor Sum (Aliquot Sum)
- 6300
- 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
- 2664
- Möbius Function
- 0
- Radical
- 3122
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 62
- 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 4-connected simplicial polyhedra with n nodes.at n=12A007021
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=24A020395
- Fibonacci sequence beginning 2 9.at n=15A022114
- Least k>1 such that first n terms of Kolakoski sequence A000002 repeat in reverse order beginning at k-th term.at n=37A022295
- n written in fractional base 10/6.at n=44A024661
- Floor( exp(3/14)*n! ).at n=6A030920
- Numbers whose set of base-8 digits is {1,4}.at n=41A032820
- Numbers having four 4's in base 5.at n=35A043368
- Numbers having three 4's in base 8.at n=33A043439
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=24A063358
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 21.at n=17A068042
- Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61.at n=28A084804
- Numbers which are sums of two and also sums of three positive cubes.at n=11A085336
- Numbers which are sums of two, three and four cubes.at n=3A085337
- Numbers of the form p^3 + q^3, p, q primes.at n=25A086119
- Numbers n such that n and n+1 both are members of A074997; i.e., on the one hand n-1 and n+1 have the same prime signature, on the other hand n and n+2 have the same prime signature.at n=35A086540
- Number of partitions of n into nonsquares.at n=47A087153
- First sums of successive twin primes of order n.at n=8A096283
- Frequency of the hexadecimal 8 in the first 10^n hexadecimal digits of Pi.at n=4A099341
- Indices of primes in sequence defined by A(0) = 31, A(n) = 10*A(n-1) + 51 for n > 0.at n=15A101839