15738
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 32736
- Proper Divisor Sum (Aliquot Sum)
- 16998
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 1
- Radical
- 15738
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 102
- 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
- Number of factorizations with 2 levels of parentheses indexed by prime signatures. A050338(A025487).at n=38A050339
- Least multiple k of prime(n) such that (k-1,k+1) forms a twin prime pair, or 0 if no such number exists.at n=17A090530
- n+p(n)+p(p(n)) is a palindrome, where p(n) denotes the n-th prime.at n=29A116037
- Numbers n such that primorial(n)/2 + 1024 is prime.at n=24A139455
- Number of partitions of a 2 x n rectangle into connected pieces consisting of unit squares cut along lattice lines (like a 2-d analog of a partition into integers) in which each piece has rotational symmetry.at n=7A152124
- Positions of records in A213726.at n=13A218548
- Numbers which are the roots of distinct not-previously-encountered side-trees ("tendrils") sprouting from the side of the infinite beanstalk (see A213730).at n=28A218612
- Number of partitions p of n including floor(mean(p)) as a part.at n=38A241334
- Capless binary boundary codes for holeless strictly non-overlapping polyhexes, only the maximal representative from each equivalence class obtained by rotating.at n=5A258004
- Capless binary boundary codes for fusenes, maximal representative from each equivalence class up to rotation.at n=5A258014
- Numbers k such that phi(6k) is either phi(6k-2) or phi(6k+2), where phi is Euler's totient function A000010.at n=17A279011
- Numbers k such that phi(6k) = phi(6k+2), where phi is Euler's totient function A000010.at n=5A279184
- Number of colored integer partitions of n using all colors of a 2-set such that all parts have different color patterns and a pattern for part i has i colors in (weakly) increasing order.at n=16A327598
- Numbers k such that (Sum of totatives of k) == 1 (mod Sum of primes dividing k with multiplicity).at n=35A340299
- Products of four distinct primes between twin primes.at n=41A353022
- Indices k at which either the leading digit or the length of A121805(k) changes.at n=38A367358