2737
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 719
- 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
- 2112
- Möbius Function
- -1
- Radical
- 2737
- 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
- 40
- 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
- a(n) = ceiling(n*phi^9), where phi is the golden ratio, A001622.at n=36A004964
- Bruckman-Lucas pseudoprimes: k | (L_k - 1), where k is composite and L_k = Lucas numbers A000032.at n=2A005845
- Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.at n=10A007990
- Coordination sequence T2 for Zeolite Code EMT.at n=43A008087
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 3.at n=36A013591
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=8A013592
- Generalized Fibonacci numbers: a(n) = a(n-1) + 8*a(n-2).at n=7A015443
- Pseudoprimes to base 22.at n=24A020150
- Pseudoprimes to base 24.at n=18A020152
- Pseudoprimes to base 45.at n=25A020173
- Pseudoprimes to base 47.at n=31A020175
- Pseudoprimes to base 93.at n=26A020221
- a(n) = n*(19*n - 1)/2.at n=17A022276
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=17A025407
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=4A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=4A025413
- For n>0, a(n) is the least quasi-Carmichael number to base -n, extended to n=0 with the least composite squarefree integer.at n=23A029591
- Positions of records in A030717.at n=51A030722
- Friedman numbers: can be written in a nontrivial way using their digits and the operations + - * / ^ and concatenation of digits (but not of results).at n=41A036057
- Number of 4-ary rooted trees with n nodes and height exactly 4.at n=17A036628