15428
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 33600
- Proper Divisor Sum (Aliquot Sum)
- 18172
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- 0
- Radical
- 7714
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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
- a(n) = n*(n+1)*(2*n+1)/3.at n=28A006331
- Numerators of continued fraction convergents to sqrt(463).at n=6A041882
- a(n) = A000085(n) * A000110(n).at n=5A094070
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, 1), (0, 1, -1), (1, 0, 0), (1, 1, 0)}.at n=7A151097
- Number of binary strings of length n with equal numbers of 00001 and 10001 substrings.at n=15A164204
- a(n) = A165966(n)/12.at n=21A166119
- a(n) = 19*n*(n+1).at n=28A173309
- Floor(1/{(7+n^4)^(1/4)}), where {}=fractional part.at n=29A184631
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,4,6,4,1.at n=20A221995
- Number of partitions p of n such that the number of parts having multiplicity 1 is a part and max(p) - min(p) is not a part.at n=39A241449
- 7-step Fibonacci sequence starting with (0,0,0,0,1,0,0).at n=21A251711
- The number of overpartitions of n into parts congruent to 2, 4, or 5 modulo 6.at n=48A253136
- Number of nX6 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=1A279578
- T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=22A279580
- Number of 2 X n 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=5A279581
- Sum of the areas of the squares on the sides of the distinct rectangles that can be made with positive integer sides such that L + W = n, W < L.at n=28A294473
- Number of anti-binary (no binary branchings) unlabeled rooted trees with n nodes.at n=15A303023
- Numbers that are the sum of nine fourth powers in ten or more ways.at n=26A345594
- Numbers that are the sum of nine fourth powers in exactly ten ways.at n=23A345852
- Antidiagonal sums of A343052.at n=44A379703