15328
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 14912
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7648
- Möbius Function
- 0
- Radical
- 958
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- Numbers k such that 129*2^k-1 is prime.at n=35A050590
- Numbers k such that 285*2^k + 1 is prime.at n=25A053359
- Number of stars brighter than visual magnitude n-1.at n=8A053406
- Difference between the sum of next prime(n) natural numbers and the sum of next n primes.at n=18A082749
- Expansion of 1/sqrt(1-4*x-4*x^2+16*x^3).at n=8A106183
- Integers k such that 10^k - 87 is prime.at n=3A108331
- Binomial transform of abs(A134967).at n=12A135035
- Partial sums of cardinalities of coalition sets A095941.at n=12A178684
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2>2x^2+2y^2.at n=25A211633
- Number of n X 2 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 3 0..1 array.at n=6A228980
- Number of nX7 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X8 0..1 array.at n=1A228985
- T(n,k) = number of nXk 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..1 array.at n=29A228986
- T(n,k) = number of nXk 0..1 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..1 array.at n=34A228986
- 10-step Fibonacci sequence starting with 0,0,0,1,0,0,0,0,0,0.at n=24A251764
- Number of (n+2)X(3+2) 0..4 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=9A252806
- Sum of numbers in the n-th antidiagonal of the reciprocity array of 2.at n=39A259580
- The second Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.2).at n=14A292345
- Number of integer partitions of n whose negated run-lengths are not unimodal.at n=39A332639
- Indices where prime(n) first appears in A373902.at n=31A371618
- a(n) = Sum_{k=0..floor(n/2)} 2^k * binomial(k,n-2*k)^2.at n=14A387476