2714
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 1606
- 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
- 1276
- Möbius Function
- -1
- Radical
- 2714
- 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
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{k=0..n} p(k) where p(k) = number of partitions of k (A000041).at n=20A000070
- Number of free nonplanar polyenoids with n nodes and symmetry point group C_{2v}.at n=11A000947
- Coordination sequence T1 for Zeolite Code MAZ.at n=36A008144
- Aliquot sequence starting at 180.at n=47A008891
- Numbers k such that sigma(k) = sigma(k+12).at n=26A015882
- Integer part of Gamma(n+7/9)/Gamma(7/9).at n=7A020065
- Place where n-th 1 occurs in A023123.at n=44A022785
- Number of palindromic partitions of n.at n=40A025065
- Number of palindromic partitions of n.at n=41A025065
- Positions of record values in A030737.at n=46A030742
- Number of partitions of n with equal number of parts congruent to each of 2 and 3 (mod 4).at n=36A035545
- Replace n with concatenation of its divisors >1.at n=13A037277
- Numerators of continued fraction convergents to sqrt(186).at n=7A041344
- Numbers whose base-2 representation has exactly 10 runs.at n=31A043577
- a(n) = (s(n)-1)/2, where s(n) is the n-th number whose base-2 representation has exactly 11 runs.at n=35A043691
- Numbers n such that number of runs in the base 2 representation of n is congruent to 0 mod 10.at n=31A043763
- Numbers k such that the string 4,5 occurs in the base 9 representation of k but not of k-1.at n=37A044292
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n-1.at n=30A044346
- Numbers n such that string 4,5 occurs in the base 9 representation of n but not of n+1.at n=37A044673
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n+1.at n=30A044727