2937
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 1383
- 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
- 1760
- Möbius Function
- -1
- Radical
- 2937
- 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
- 53
- 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
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=35A000199
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=26A002597
- First differences of A005579.at n=19A005347
- Positions of remoteness 6 in Beans-Don't-Talk.at n=43A005694
- Coefficients of the '2nd-order' mock theta function A(q).at n=28A006304
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=18A011935
- Pseudoprimes to base 34.at n=33A020162
- Concatenation of n and n + 8 or {n,n+8}.at n=28A032613
- Number of different compact source directed animals with 1 point on the bottom line.at n=8A036908
- Denominators of continued fraction convergents to sqrt(497).at n=6A041949
- Numbers n such that string 3,7 occurs in the base 10 representation of n but not of n-1.at n=32A044369
- Numbers n such that string 3,7 occurs in the base 10 representation of n but not of n+1.at n=32A044750
- Numbers with multiplicative persistence value 5.at n=35A046514
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n+1)/3.at n=16A048047
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n-4)/2.at n=16A048069
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n+2)/3.at n=16A048080
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n+3)/3.at n=16A048091
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A049747.at n=39A049749
- Numbers n such that 235*2^n-1 is prime.at n=13A050869
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 22.at n=31A051987