14394
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 28800
- Proper Divisor Sum (Aliquot Sum)
- 14406
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4796
- Möbius Function
- -1
- Radical
- 14394
- 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
- 71
- 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
- Numbers n such that n/6 and prime(n)+/-n are all primes.at n=23A105550
- Let l(n) be the number of letters when n is written in French; sequence gives values of n where l(n) sets a new record.at n=37A105873
- Triangle read by rows: counts permutations by number of big descents.at n=23A120434
- a(n) = A006551(n) - A018224(n).at n=7A154413
- a(n) = 36*n^2 - 6.at n=19A158462
- Triangle T(n,k), read by rows, given by (0,1,0,2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) DELTA (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...), where DELTA is the operator defined in A084938.at n=33A199335
- Number of nX4 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.at n=5A301665
- Number of nX6 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.at n=3A301667
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.at n=39A301669
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 4 horizontally or vertically adjacent elements, with upper left element zero.at n=41A301669
- Expansion of Product_{j>=1} 1/(1 - j*(-1 + Product_{k>=1} 1/(1 - k*x^k))^j).at n=7A307494
- Row lengths of the irregular triangles A324038 and A324246.at n=20A324039
- Number of integer partitions of n whose run-lengths are neither weakly increasing nor weakly decreasing.at n=38A332641
- Number of nonnegative solutions to (x_1)^2 + (x_2)^2 + ... + (x_6)^2 <= n.at n=42A341401
- Zumkeller numbers k (A083207) such that the next Zumkeller number is k + 12.at n=39A345704
- G.f. A(x) satisfies: A(x) = x / exp(3 * Sum_{k>=1} A(x^k) / k).at n=6A345883
- Number of integer partitions of n such that the maximum is less than twice the median.at n=50A361858
- Number of integer partitions of n whose length can be written as a nonnegative linear combination of the distinct parts.at n=35A367218