5732
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10038
- Proper Divisor Sum (Aliquot Sum)
- 4306
- 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
- 2864
- Möbius Function
- 0
- Radical
- 2866
- 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
- 28
- 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
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=11A004968
- Coordination sequence for MgZn2, Position Zn2.at n=19A009938
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=25A025100
- a(n) = (1/C(n,0) + 1/C(n,1) + ... + 1/C(n,n))*L, where L = LCM{C(n,0), C(n,1),..., C(n,n)}.at n=10A025533
- Number of connected numbers (A029827) with binary order (A029837) <= n.at n=14A036387
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5) <= cn(3,5).at n=69A036870
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=30A063354
- Numbers k such that k^2 - 1 is a palindrome.at n=16A070253
- A sum of Lah numbers and binomial coefficients.at n=5A082580
- Number of partitions of n such that the least part occurs with odd multiplicity.at n=32A096375
- Indices of primes in sequence defined by A(0) = 87, A(n) = 10*A(n-1) - 23 for n > 0.at n=5A101068
- Irregular array where the n-th row are the divisors, not occurring earlier in the sequence, of the sum of the terms in all previous rows. a(1)=5.at n=31A120579
- Numbers n such that n^4+1 and n^4+3 are twin primes.at n=40A127871
- Numbers k such that A090831(k) is prime.at n=6A144675
- 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, 0), (-1, 0, 1), (0, -1, 0), (1, 1, 0)}.at n=8A149234
- 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, 0), (-1, 1, -1), (1, 0, 1), (1, 1, 0), (1, 1, 1)}.at n=6A151215
- a(n) = 441*n - 1.at n=12A158319
- Zero-less composite numbers such that exactly eight distinct anagrams are primes.at n=35A163651
- Nonprimes with all digits distinct, all digits prime, and a nonprime number of digits.at n=11A165245
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^3 < x^3 + y^3.at n=20A211650