5747
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6576
- Proper Divisor Sum (Aliquot Sum)
- 829
- 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
- 4920
- Möbius Function
- 1
- Radical
- 5747
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 173
- 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
- Quadruples of different integers from [ 1,n ] with no common factors between pairs.at n=32A015623
- a(1) = 3; a(n+1) = a(n)-th composite.at n=28A022451
- Number of achiral triangular n-ominoes (n-iamonds) (holes are allowed).at n=20A030223
- Triangle of D-analogs of Stirling numbers of the 2nd kind.at n=30A039760
- Triangle of D-analogs of Stirling numbers of the 2nd kind.at n=33A039761
- Numbers k such that 181*2^k-1 is prime.at n=35A050842
- Numbers k such that 285*2^k-1 is prime.at n=35A050901
- a(n) = n*(14*n^2 - 21*n + 13)/6.at n=14A071229
- a(n) = least odd number such that all pairwise sums a(i) + a(j), i < j <= n, are distinct.at n=41A080430
- Number of partitions of n into decimal repdigit numbers.at n=33A088669
- Number of partitions of n into decimal palindromes.at n=33A091580
- Number of partitions of the n-th decimal palindrome into decimal palindromes.at n=12A091584
- a(n) is the number of primes p which have exactly n zeros and n ones when written in binary.at n=9A095018
- Numbers k such that 216*k+108 is a term of A097703 and A007494 and A098240.at n=6A098241
- Largest number k such that the interval [k^2,(k+1)^2] contains not more than n pairs of twin primes.at n=32A099154
- Sum of the right diagonal in ordered 3 X 3 prime squares.at n=32A105091
- Semiprimes which are the sum of two pentagonal numbers (A000326) in exactly two different ways.at n=29A120536
- 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, 0, 1), (0, 1, -1), (1, 0, 1)}.at n=7A150343
- a(n) = 338*n + 1.at n=16A158000
- a(n) = 169n + 1.at n=33A158221