4758
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 10416
- Proper Divisor Sum (Aliquot Sum)
- 5658
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1440
- Möbius Function
- 1
- Radical
- 4758
- 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
- 77
- 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
- Numbers that are the sum of 5 positive 7th powers.at n=14A003372
- Numbers that are the sum of at most 5 positive 7th powers.at n=45A004867
- Coordination sequence T2 for Zeolite Code LOV.at n=46A008135
- Coordination sequence T2 for Zeolite Code VSV.at n=44A009915
- Expansion of 1/((1-x)(1-4x)(1-7x)(1-11x)).at n=3A021884
- a(n) = prime(n)*prime(n-1) + 1.at n=19A023523
- a(n) = (d(n)-r(n))/2, where d = A026037 and r is the periodic sequence with fundamental period (1,0,0,1).at n=28A026038
- 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 44.at n=41A031542
- Number of partitions of n into parts not of the form 11k, 11k+2 or 11k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 4 are greater than 1.at n=37A035945
- a(n) = Sum_{d|n} (2^d*3^(n/d)).at n=6A038039
- Numbers whose concatenation of prime factors (with multiplicity) is a square.at n=17A038693
- Numbers having three 6's in base 9.at n=10A043479
- Numbers whose base-4 representation contains exactly three 1's and three 2's.at n=27A045103
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=20A063366
- Least k such that k*5^n +/- 1 are twin primes.at n=36A064214
- Number of ways to partition n into distinct positive integers <= phi(n), where phi is Euler's totient function (A000010).at n=56A079124
- a(n) = 7*n^2 + n.at n=26A092277
- In binary representation: numbers not occurring in their factorial.at n=30A093685
- a(n) = 3*2^n + 2*3^n.at n=7A094125
- Numbers k such that k*k! + (smallest prime > k) is prime.at n=26A096986