8572
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15008
- Proper Divisor Sum (Aliquot Sum)
- 6436
- 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
- 4284
- Möbius Function
- 0
- Radical
- 4286
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 171
- 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 partitions into non-integral powers.at n=36A000327
- Number of colors that can be mixed with up to n units of yellow, blue, red.at n=38A048134
- a(n) = prime(prime(prime(n) - 1) - 1) - 1, where prime(n) = n-th prime.at n=41A141208
- a(n) = prime(prime(prime(prime(n) - 1) - 1) - 1) - 1, where prime(n) is the n-th prime.at n=13A141217
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, -1, 1), (0, 1, -1), (1, 0, 0)}.at n=10A148100
- Some numbers of the form 2*x^3 + y^3 + z^3 found by a certain algorithm.at n=22A195006
- Sum of the asymmetry degrees of all compositions of n with parts in {1,2,4,6,8,10,...}.at n=15A276054
- G.f.: Sum_{k>=1} x^k/(1-x^k) * Product_{k>=1} (1+x^k).at n=34A305082
- Triangle read by rows: T(n,k) is the number of lone-child-avoiding rooted trees with n leaves of exactly k colors.at n=18A319376
- Indices of primes followed by a gap (distance to next larger prime) of 36.at n=40A320716
- Numbers that have decimal expansion c(1)c(2)...c(n) with distinct digits that satisfy c(1) <> 0, c(1) is the largest digit, and for each i in 1..n there is j in 0..2 such that c(i) == 3*c(i-1) + j (mod 10) (with c(0): = c(n)).at n=21A336661
- E.g.f.: exp(exp(x) - 1) / (sec(x) + tan(x)).at n=10A337447
- Number of partitions of n that contain more prime parts than nonprime parts.at n=38A355225
- Expansion of Product_{i>=1, j>=0} (1 + x^(i * 5^j)).at n=49A373219