14244
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 33264
- Proper Divisor Sum (Aliquot Sum)
- 19020
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4744
- Möbius Function
- 0
- Radical
- 7122
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- yes
- Odd
- no
Appears in sequences
- Glaisher's function H'(4n+1) (18 squares version).at n=17A002610
- Each permutation in the list A060117 converted to Site Swap notation, with digits reversed and inverted. "Zero throws" (fixed elements) indicated with 0's.at n=27A060498
- Each permutation in the list A060118 converted to Site Swap notation, with digits reversed and inverted. "Zero throws" (fixed elements) indicated with 0's.at n=29A060499
- a(n) = (sum of first n primes)^2 - sum of squares of first n primes.at n=9A065595
- a(n) = 14*a(n-1) - 46*a(n-2) for n > 1; a(0) = 3, a(1) = 24.at n=4A163473
- Number of partitions of n where the difference between consecutive parts is at most 2.at n=46A224956
- Number of closed binary words of length n.at n=17A226452
- Number of (n+1)X(2+1) 0..3 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A237673
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=4A237677
- Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.at n=24A253503
- Coefficients of mock modular form H_2^(7) of type 1A, divided by 4.at n=30A256057
- Number of squares added at the n-th generation of a symmetric (with 45-degree angles), non-overlapping Pythagoras tree.at n=21A276677
- Number of nX6 0..1 arrays with every element unequal to 0, 1, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=9A318348
- a(n) = Sum_{i=1..n} sigma(i)*sigma(i+1), where sigma(n) = A000203(n) is the sum of the divisors of n.at n=24A330322