4657
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4658
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4656
- Möbius Function
- -1
- Radical
- 4657
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 152
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 630
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of graphical partitions of 2n.at n=16A000569
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=37A006562
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=21A007765
- Coordination sequence for Paracelsian.at n=46A008260
- a(n) = prime(n*(n+1)/2).at n=34A011756
- Numbers k such that the continued fraction for sqrt(k) has period 83.at n=0A020422
- Primes such that digits of p do not appear in p^3.at n=13A030087
- Coordination sequence T2 for Zeolite Code SFF.at n=45A038438
- a(n) = (9*n^2 + 3*n + 2)/2.at n=32A038764
- Denominators of continued fraction convergents to sqrt(988).at n=6A042913
- Numbers whose base-5 representation contains exactly three 1's and three 2's.at n=7A045232
- Primes whose consecutive digits differ by 1 or 2.at n=45A048413
- a(n) is the first prime p from A031924 such that A052180(primepi(p)) = prime(n).at n=14A052229
- Primes p such that p-6, p and p+6 are consecutive primes.at n=33A053070
- Primes of the form k(k+1)/2+1 (i.e., central polygonal numbers, or one more than triangular numbers).at n=29A055469
- Primes p whose period of the reciprocal 1/p is (p-1)/3.at n=40A055628
- Primes p such that x^24 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=26A059331
- Primes p such that x^56 = 2 has no solution mod p, but x^28 = 2 has a solution mod p.at n=31A059635
- Primes that are each the sum of two, three, and four consecutive composite numbers.at n=9A060339
- Irregular primes with irregularity index three.at n=10A060975