15300
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 54
- Divisor Sum
- 50778
- Proper Divisor Sum (Aliquot Sum)
- 35478
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 510
- Omega Function (Ω)
- 7
- 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
- 40
- 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
- Number of n-node connected graphs with at most one cycle.at n=13A005703
- Growth function of an infinite cubic graph (number of nodes at distance <=n from fixed node).at n=32A038621
- Numbers n such that 69*2^n-1 is prime.at n=45A050560
- Sum of absolute values of coefficients of expansion of (1-x)(1-x^2)(1-x^3)...(1-x^n).at n=37A061553
- Natural numbers that can be factored into the product of three positive integers whose minimal sum is achieved in more than one way.at n=16A112536
- Experience Points thresholds for levels in the pen and paper role-playing game "Das Schwarze Auge" (DSA, a.k.a. "The Dark Eye").at n=17A124437
- Exponential aspiring numbers.at n=23A127658
- Exponential abundant numbers: integers k for which A126164(k) > k, or equivalently for which A051377(k) > 2k.at n=17A129575
- a(n) = 5*p^5 - 3*p^3 + 2*p^2 with p = prime(n).at n=2A133062
- Sum of third powers of four consecutive primes.at n=4A133525
- a(n) = 2*3^n + 3^(n-1) - (n+1).at n=7A133648
- a(n) = 5*n^5 - 3*n^3 + 2*n^2. Coefficients and exponents are the prime numbers in decreasing order.at n=5A134631
- Subset of A020342 (vampire numbers, definition 1) listing numbers which have more than one such representation of the desired form.at n=10A144563
- a(n) = E(k)*C(n+k,k) = Euler(k)*binomial(n+k,k) for k=4.at n=14A154286
- a(n) = n^3 - n*(n+1)/2.at n=25A160378
- Numbers k such that if k = a*b, then a+b = reversal(k) for some integers a,b > 1.at n=15A161791
- Numbers with prime factorization pq^2r^2s^2.at n=5A189344
- Number of n X 2 0..3 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=46A201445
- Number of nX3 0..2 arrays with the row and column sums nondecreasing.at n=3A203325
- Number of nX4 0..2 arrays with the row and column sums nondecreasing.at n=2A203326