3157
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4032
- Proper Divisor Sum (Aliquot Sum)
- 875
- 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
- 2400
- Möbius Function
- -1
- Radical
- 3157
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 30
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Numbers that are the sum of 2 positive 5th powers.at n=11A003347
- Numbers that are the sum of at most 2 positive 5th powers.at n=17A004842
- Numbers that are the sum of at most 3 positive 5th powers.at n=38A004843
- Series expansion for rectilinear polymers on square lattice.at n=5A007291
- Coordination sequence T5 for Zeolite Code EUO.at n=35A008100
- Coordination sequence T1 for Zeolite Code FAU.at n=47A008105
- Coordination sequence T1 for Zeolite Code iRON.at n=39A009881
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T4 atom.at n=11A019080
- Pseudoprimes to base 32.at n=37A020160
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=21A020896
- a(n) = n*(13*n + 1)/2.at n=22A022271
- Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=27A035998
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(1,5) and cn(2,5) + cn(3,5) <= cn(4,5).at n=35A039877
- Numbers n such that string 5,7 occurs in the base 10 representation of n but not of n-1.at n=34A044389
- Numbers n such that string 5,7 occurs in the base 10 representation of n but not of n+1.at n=34A044770
- Numbers whose base-5 representation contains exactly two 0's and three 1's.at n=6A045168
- Coordination sequence T2 for Zeolite Code ISV.at n=39A047959
- Positions of 3-digit terms in the continued fraction for Pi (3 is at position 0).at n=37A048957
- Expansion of e.g.f. log(-1/(-1+x*exp(x)-x)).at n=7A052858
- Numbers k such that k^2 contains only digits {4,6,9}.at n=8A053960