1757
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2016
- Proper Divisor Sum (Aliquot Sum)
- 259
- 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
- 1500
- Möbius Function
- 1
- Radical
- 1757
- 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
- 55
- 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
- Number of partitions into non-integral powers.at n=21A000148
- a(n) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1.at n=29A003520
- Representation degeneracies for Neveu-Schwarz strings.at n=14A005301
- Oscillates under partition transform.at n=32A007211
- Coordination sequence T1 for Zeolite Code KFI.at n=32A008123
- Coordination sequence T1 for Banalsite.at n=25A008249
- If a, b are in the sequence, so is ab+3.at n=41A009302
- Coordination sequence T1 for Zeolite Code iRON.at n=29A009881
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=4A015990
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=52A017873
- Expansion of 1/(1 -x^5 -x^6 -x^7 - ...).at n=34A017899
- Number of 1's in n-th term of A022482.at n=26A022484
- Number of partitions of n into 5 unordered relatively prime parts.at n=41A023025
- a(n) = [ (2nd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {first n+1 primes}.at n=41A024452
- a(n) = [ (2nd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=42A024531
- a(n) = n^2 - 7.at n=39A028881
- a(n) = 5^n mod 2^n.at n=11A029757
- Position of rightmost 0 in 2^n increases.at n=12A031140
- Position of rightmost 0 (including leading 0) in 2^n increases.at n=23A031142
- Numbers with exactly five distinct base-6 digits.at n=27A031983