2745
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4836
- Proper Divisor Sum (Aliquot Sum)
- 2091
- 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
- 1440
- Möbius Function
- 0
- Radical
- 915
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 40
- Smith Number
- yes
- 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
- Narayana's cows sequence: a(0) = a(1) = a(2) = 1; thereafter a(n) = a(n-1) + a(n-3).at n=22A000930
- a(n) = n^3 + 1.at n=15A001093
- Bisection of A000930.at n=11A002478
- Number of ways in which n identical balls can be distributed among 5 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=10A005338
- x^3 + n*y^3 = 1 is solvable.at n=45A005988
- Number of set-like atomic species of degree n.at n=34A007650
- Coordination sequence T1 for Zeolite Code KFI.at n=40A008123
- Numbers k that divide the sum of all primes <= k.at n=6A009560
- Coordination sequence T1 for Zeolite Code VNI.at n=32A009907
- Numbers k such that k | 14^k + 1.at n=39A015965
- Pseudoprimes to base 62.at n=26A020190
- a(n) = n*(17*n - 1)/2.at n=18A022274
- Number of partitions of n that do not contain 2 as a part.at n=32A027336
- Numbers k such that k^2 is palindromic in base 14.at n=18A030072
- Sums of distinct powers of 7.at n=25A033044
- Numbers whose set of base 14 digits is {0,1}.at n=9A033050
- Decimal part of cube root of a(n) starts with 0: first term of runs (cubes excluded).at n=12A034126
- Positive numbers having the same set of digits in base 2 and base 7.at n=20A037412
- Sums of 3 distinct powers of 7.at n=7A038482
- Numerators of continued fraction convergents to sqrt(230).at n=2A041428