4957
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4958
- 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
- 4956
- Möbius Function
- -1
- Radical
- 4957
- 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
- 134
- 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
- 663
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Second-order Fibonacci numbers.at n=16A010049
- Numbers k such that the continued fraction for sqrt(k) has period 89.at n=3A020428
- Smallest nonempty set S containing prime divisors of 8k+5 for each k in S.at n=23A020618
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=39A023255
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=26A031800
- Lower prime of a difference of 10 between consecutive primes.at n=65A031928
- Primes that are concatenations of n with n + 8.at n=6A032631
- Primes of form x^2+41*y^2.at n=31A033228
- Number of partitions of n into parts not of the form 19k, 19k+5 or 19k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=31A035974
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=22A045131
- Coordination sequence T1 for Zeolite Code AEN.at n=44A047950
- Coordination sequence T2 for Zeolite Code AEN.at n=44A047951
- Expansion of (1-2x^2)/(1-x-3x^2+2x^4).at n=12A052962
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=18A054999
- Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=6A056217
- Primes p such that x^59 = 2 has no solution mod p.at n=13A059312
- Integer part of (Product(n^((1 + log(1 + i))/(1 + i^2)), {i, 1, n})).at n=40A062492
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=9A067379
- Primes such that the decimal concatenation of prime(n) and n is prime.at n=42A084671
- Primes p such that for some k the number of terms > 0 and < 1 in the Farey sequence of order k is p.at n=40A085918