4057
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4058
- 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
- 4056
- Möbius Function
- -1
- Radical
- 4057
- 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
- 113
- 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
- 560
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=15A007765
- Coordination sequence T3 for Zeolite Code AFT.at n=48A008028
- Coordination sequence T3 for Zeolite Code CON.at n=45A009870
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=26A014755
- Numbers k such that the continued fraction for sqrt(k) has period 91.at n=0A020430
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=27A024842
- a(n) = position of 3*n^3 in A003072.at n=22A024970
- Smallest prime in Goldbach partition of A025018(n).at n=50A025019
- Expansion of Molien series for 5-dimensional group G_3 acting on Jacobi polynomials of ternary self-dual codes.at n=3A027628
- Primes which when concatenated with next 3 primes are also prime.at n=32A030472
- Primes with property that when cubed all even digits occur together and all odd digits occur together.at n=21A030482
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=4A031816
- Lower prime of a pair of consecutive primes having a difference of 16.at n=12A031934
- "CGK" (necklace, element, unlabeled) transform of 1,2,3,4,...at n=13A032158
- Quotient of 'base-23' division described in A032577.at n=55A032578
- Primes of form x^2+66*y^2.at n=31A033242
- Primes of form x^2+69*y^2.at n=31A033244
- Primes of form x^2+77*y^2.at n=28A033249
- Primes of form x^2+86*y^2.at n=24A033255
- 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=35A034757