15004
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 29792
- Proper Divisor Sum (Aliquot Sum)
- 14788
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6600
- Möbius Function
- 0
- Radical
- 682
- Omega Function (Ω)
- 5
- 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
- 63
- 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
- The convergent sequence C_n for the ternary continued fraction (3,1;2,2) of period 2.at n=13A000964
- a(n) = (5*n+1)*(5*n+4).at n=24A001545
- a(n) = floor(n*phi^15), where phi is the golden ratio, A001622.at n=11A004930
- a(n) = round(n*phi^15), where phi is the golden ratio, A001622.at n=11A004950
- a(n) = (2*n - 13)*n^2.at n=22A015246
- Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.at n=33A015724
- Numbers whose base-5 representation contains exactly three 0's and three 4's.at n=6A045217
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.at n=28A070146
- Numbers k such that [A070080(k), A070081(k), A070082(k)] is an integer Heronian triangle having triangular area.at n=16A070148
- Sum of terms of n-th group in A075383.at n=21A075386
- a(n) = (3*n+1)*(3*n+4).at n=40A085001
- (2 + phi)/a(n) is the sum of successive remainders when computing the Euclidean algorithm for (1, A088166(n)/phi) with phi being the golden ratio, where n >= 2.at n=3A087954
- a(n) = floor(L^3*{phi^(3*n-2), phi^(3*n-1), phi^(3*n-2) + phi^(3*n-1)}) where L = (1 + sqrt(5))/(2*sqrt(5)) and phi = (1 + sqrt(5))/2.at n=21A115315
- Convolution square of A003106.at n=42A145468
- a(n) = (7*n+2)*(7*n+5) = 49*n^2 + 49*n + 10.at n=17A177060
- T(n,k) = (n-1)*A220555(n,k), n,k = 2,3,....at n=32A187772
- Molecular topological indices of the cycle graphs.at n=30A192797
- Augmentation of the Euler partition triangle A026820. See Comments.at n=33A193591
- Smallest possible largest element in an 8 by n average array where repetitions are allowed without diagonals.at n=2A195751
- Smallest possible largest number of a 4 by n average array where repetitions are not allowed without diagonals.at n=6A195754