1957
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2080
- Proper Divisor Sum (Aliquot Sum)
- 123
- 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
- 1836
- Möbius Function
- 1
- Radical
- 1957
- 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
- 50
- 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
- -1 + number of partitions of n.at n=25A000065
- Even sequences with period 2n.at n=9A000206
- Total number of ordered k-tuples (k=0..n) of distinct elements from an n-element set: a(n) = Sum_{k=0..n} n!/k!.at n=6A000522
- Coordination sequence T1 for Zeolite Code AFS.at n=34A008023
- Coordination sequence T1 for Zeolite Code BPH.at n=34A008055
- Coordination sequence T1 for Zeolite Code FAU.at n=37A008105
- Expansion of (1+x^11)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=52A008772
- Coefficients in expansion of e as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=53A011189
- Coordination sequence T1 for Zeolite Code OSI.at n=29A016430
- a(n) is the concatenation of n and 3n.at n=18A019551
- Pseudoprimes to base 46.at n=27A020174
- Pseudoprimes to base 56.at n=22A020184
- Expansion of 1/((1-x)*(1-2*x)*(1-6*x)*(1-8*x)).at n=3A021184
- Discriminants of totally real quartic fields.at n=3A023680
- Golc sequence in base 2. Left to right concatenation of n,int(log_2(n)),int(log_2(int(log_2(n)))),... in base 2.at n=29A028432
- Q(sqrt(n)) has class number 3.at n=39A029703
- a(n) = floor(E_(n+1)/E_(n)) where E_n is n-th Euler number (see A028296 and A000364).at n=33A034971
- Numbers that eventually reach 1 under "x -> sum of cubes of digits of x".at n=31A035504
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 5).at n=33A035553
- Molien series for 3-D group R2+R3.at n=25A037242