14508
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 40768
- Proper Divisor Sum (Aliquot Sum)
- 26260
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 2418
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- yes
- Odd
- no
Appears in sequences
- Arrays of dumbbells.at n=13A002940
- Number of partitions of n^2 into distinct squares.at n=42A030273
- Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=31A045614
- Number of nonsquare divisors of n!.at n=17A056596
- a(n) = 2^n mod Fibonacci(n).at n=21A057862
- Integer part of log(n!)^(1 + log(1 + log(1 + n))).at n=23A062445
- Nearest integer to log(n!)^(1 + log(1 + log(1 + n))).at n=23A062446
- 30 'Reverse and Add' steps are needed to reach a palindrome.at n=4A065319
- Expansion of -x*(-1-x+x^2) / ( 1-2*x-3*x^2+x^3 ).at n=9A095125
- Related to sums of the n-th roots of unity: sums in a circular wedge (excluding the origin).at n=17A107847
- Triangle T(n,k), read by rows, given by [0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, ...] DELTA [1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...] where DELTA is the operator defined in A084938.at n=48A111146
- Numbers whose sum of triangular divisors is also a divisor and greater than 1.at n=19A209311
- Number of perfect matchings in the graph Petersen X P_n.at n=2A220865
- Number T(n,k) of tilings of an n X k rectangle using integer-sided square tiles reduced for symmetry, where the orbits under the symmetry group of the rectangle, D2, have 4 elements; triangle T(n,k), k >= 1, 0 <= n < k, read by columns.at n=27A224867
- Smallest sets of 6 consecutive abundant numbers in arithmetic progression. The initial abundant number is listed.at n=34A228963
- Number of partitions of n containing m(2) as a part, where m denotes multiplicity.at n=39A240487
- a(n) = floor((10*n^3 + 63*n^2 + 126*n + 89) / 72).at n=45A254874
- Triangle g(n,m) by rows: the number of m-compositions of Carlitz type of n without zero rows.at n=47A275080
- Number of sets of nonempty words with a total of n letters over n-ary alphabet such that within each word every letter of the alphabet is at least as frequent as the subsequent alphabet letter.at n=7A292796
- Least k for the inner Theodorus spiral to complete n revolutions.at n=37A295339