1057
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1216
- Proper Divisor Sum (Aliquot Sum)
- 159
- 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
- 900
- Möbius Function
- 1
- Radical
- 1057
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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
- Expansion of e.g.f. exp(x*exp(x)).at n=6A000248
- sigma_5(n), the sum of the 5th powers of the divisors of n.at n=3A001160
- Number of partitions of n into at most 6 parts.at n=29A001402
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=41A001485
- a(n) = 1^n + 2^n + 4^n.at n=5A001576
- Central polygonal numbers: a(n) = n^2 - n + 1.at n=33A002061
- a(1) = 0, a(2) = -2; for n > 2, a(n) + a(n-2) - a(n-3) - a(n-5) - ... - a(n-p) = (-1)^(n+1)*n if n is prime, otherwise = 0, where p = largest prime < n.at n=34A002120
- Numbers k such that 39*2^k + 1 is prime.at n=26A002269
- Numbers that are the sum of 3 positive 5th powers.at n=11A003348
- Divisors of 2^15 - 1.at n=5A003526
- Divisors of 2^30 - 1.at n=23A003538
- Divisors of 2^45 - 1.at n=8A003550
- Numbers that are the sum of at most 3 positive 5th powers.at n=24A004843
- Numbers that are the sum of at most 4 positive 5th powers.at n=40A004844
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=12A005892
- Coordination sequence T3 for Zeolite Code MEL.at n=21A008152
- Coordination sequence T3 for Zeolite Code MTT.at n=20A008191
- Coordination sequence T1 for Zeolite Code YUG.at n=21A008247
- Expansion of cosh(sin(x)*cos(x)).at n=4A009146
- E.g.f. exp(log(1+x)/exp(x)).at n=7A009198