4757
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
- 4896
- Proper Divisor Sum (Aliquot Sum)
- 139
- 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
- 4620
- Möbius Function
- 1
- Radical
- 4757
- 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
- 77
- 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) = (6*n+1)*(6*n+5).at n=11A001513
- Products of 2 successive primes.at n=18A006094
- Coordination sequence T1 for Zeolite Code SGT.at n=43A008229
- Numbers n such that n is a substring of its square when both are written in base 2.at n=44A018826
- Fibonacci sequence beginning 1, 12.at n=14A022102
- Discriminants of quintic fields with 4 complex conjugates.at n=23A023685
- a(n) = Sum_{k=0..2*n-3} T(n, k)*T(n, k+3), T given by A027960.at n=3A027987
- Squarefree n such that Q(sqrt(n)) has class number 5.at n=36A029705
- Number of compositions (ordered partitions) of n into distinct parts.at n=23A032020
- Squares of primes or products of pairs of consecutive primes.at n=37A033476
- a(1)=1, a(n) = smallest odd number such that all sums of pairs of (not necessarily distinct) terms in the sequence are distinct.at n=37A034757
- Number of asymmetric forests with n nodes.at n=18A035056
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3,0.at n=5A037696
- a(n) is the smallest composite number c such that A002110(n) + c is prime.at n=18A038771
- Numerators of continued fraction convergents to sqrt(97).at n=9A041174
- Numerators of continued fraction convergents to sqrt(873).at n=7A042686
- Numbers whose base-2 representation has exactly 11 runs.at n=14A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=15A043686
- Numbers n such that number of runs in the base 2 representation of n is congruent to 1 mod 10.at n=26A043764
- Numbers whose base-4 representation contains exactly four 1's and two 2's.at n=24A045107