5597
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5820
- Proper Divisor Sum (Aliquot Sum)
- 223
- 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
- 5376
- Möbius Function
- 1
- Radical
- 5597
- Omega Function (Ω)
- 2
- 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
- 67
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 5*a(n-2) - 2*a(n-4), with initial terms 0,1,1,3.at n=13A005824
- Sum of gcd(x, y) for 1 <= x, y <= n.at n=45A018806
- Numbers k such that the continued fraction for sqrt(k) has period 25.at n=22A020364
- Numbers k such that k^3 has only odd digits.at n=15A030099
- Numbers having period-2 6-digitized sequences.at n=13A031357
- Sum of the lengths of the cycle types of the permutation created by duality and reversal on the partitions of n.at n=29A036050
- Number of binary rooted trees with n nodes and height exactly 8.at n=16A036597
- Number of 6-ary rooted trees with n nodes and height exactly 5.at n=14A036643
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 9.at n=13A051974
- a(n) = 5*a(n-1) - 2*a(n-2) for n>1, with a(0) = 1, a(1) = 3.at n=6A052984
- Number of Poulet numbers (or pseudoprimes to base 2, A001567) less than 10^n.at n=8A055550
- Composite numbers whose divisors (except 1) all contain the digit 9.at n=5A062680
- Numbers n such that phi(phi(n)) = phi(sigma(n)) where phi is Euler's totient and sigma is the multiplicative sum-of-divisors function.at n=44A065555
- Numbers k such that k and k^3 use only odd digits.at n=12A085597
- Sum of largest parts (counted with multiplicity) of all partitions of n.at n=20A092321
- Number of partitions of n in which no parts are multiples of 25.at n=30A092885
- Number of fib100 primes (A095088) in range ]2^n,2^(n+1)].at n=18A095068
- k's first occurrence in A102932.at n=30A101255
- Indices of primes in the sequence defined by A(0) = 41, A(n) = 10*A(n-1) + 21 for n > 0.at n=23A101723
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n having trapezoid weight k.at n=45A104573