2875
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3744
- Proper Divisor Sum (Aliquot Sum)
- 869
- 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
- 2200
- Möbius Function
- 0
- Radical
- 115
- Omega Function (Ω)
- 4
- 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
- 53
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=23A000297
- Numbers k such that 15*2^k + 1 is prime.at n=23A002258
- Positions of remoteness 6 in Beans-Don't-Talk.at n=39A005694
- Number of partitions of n into partition numbers.at n=43A007279
- Coordination sequence T9 for Zeolite Code MFI.at n=34A008172
- Expansion of (1-x^5) / (1-x)^5.at n=15A008487
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=13A010007
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=13A020443
- a(n) = position of the n-th n in A026409.at n=49A026412
- Generalizing the 27 lines on a cubic surface: number of lines on the generic hypersurface of degree 2n-1 in complex projective (n+1)-space.at n=2A027363
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 6 (most significant digit on left).at n=5A029475
- Number of proper factorizations of p1^n*p2^4, where p1 and p2 are distinct primes.at n=11A031127
- Number of proper factorizations of p1^n*p2^6, where p1 and p2 are distinct primes.at n=8A031129
- Number of partitions satisfying 0 < cn(1,5) + cn(4,5).at n=27A039898
- Numbers k such that the string 4,4 occurs in the base 9 representation of k but not of k-1.at n=35A044291
- Numbers n such that string 7,5 occurs in the base 10 representation of n but not of n-1.at n=31A044407
- Numbers n such that string 4,4 occurs in the base 9 representation of n but not of n+1.at n=35A044672
- Numbers n such that string 7,5 occurs in the base 10 representation of n but not of n+1.at n=31A044788
- Numbers whose base-4 representation contains exactly two 2's and three 3's.at n=37A045146
- Numbers whose base-5 representation contains exactly three 0's and no 1's.at n=37A045169