5718
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11448
- Proper Divisor Sum (Aliquot Sum)
- 5730
- 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
- 1904
- Möbius Function
- -1
- Radical
- 5718
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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=54A000009
- Coordination sequence for MgNi2, Position Ni2.at n=19A009932
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 74.at n=19A031572
- Number of ways to partition 2n into distinct positive integers.at n=27A035294
- Numerators of continued fraction convergents to sqrt(998).at n=5A042932
- a(n) = Sum_{m=1..n} T(m,n+1-m), array T as in A048887.at n=15A048888
- Numbers which are the sum of their proper divisors containing the digit 9.at n=12A059468
- Prime(n^2) +/- n are primes.at n=18A064495
- The concatenation of n with n-1 and n with n+1 both yield primes (twin primes).at n=44A068700
- Number of ways to partition 4*n+2 into distinct positive integers.at n=13A078407
- Expansion of q^(-1/24) (m (1-m) / 16)^(1/24) in powers of q, where m = k^2 is the parameter and q is the nome for Jacobian elliptic functions.at n=54A081360
- Square root of coefficients of power series: A083352(x)^2 + A083352(x) - 1; term-by-term square root of A083353.at n=74A083354
- a(n) = (5/6)*n^3+(5/2)*n^2+(8/3)*n.at n=18A092185
- Numbers n such that n/6 and prime(n)+/-n are all primes.at n=13A105550
- Least positive k such that k * [RSA-640]^n - 1 is prime, where RSA-640 is the 193 decimal digit RSA challenge number A391940(14).at n=43A108573
- 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=36A113746
- Number of partitions of n into odd parts in which the largest part occurs only once.at n=55A117409
- Even values of the PartitionsQ function A000009.at n=42A118303
- Numbers n such that A117731(n) differs from A082687(n).at n=38A125740
- Largest number not the sum of n distinct nonzero squares.at n=19A129210