15301
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
- 8
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 2843
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12720
- Möbius Function
- -1
- Radical
- 15301
- Omega Function (Ω)
- 3
- 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
- 40
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=27A020437
- For n odd, >1, not divisible by 3, we can write 3/n = 1/a + 1/b + 1/c with a>b>c>0, a,b,c distinct and odd; sequence gives smallest a.at n=34A027442
- For n != 1 mod 3, we can write 3/(2n+1) = 1/a + 1/b + 1/c with a>b>c>0, a,b,c distinct and odd; sequence gives smallest such a, or 1 if n = 1 mod 3.at n=52A027443
- a(n) = (3*n - 1)*(4*n - 1).at n=36A033578
- Number of points in N^n of norm <= 2.at n=25A055417
- a(n) = (2*n^3 - n^2 - n + 2)/2.at n=25A081441
- Star numbers (A003154) whose digital sum and product of nonzero digits are both triangular numbers.at n=4A083748
- a(n) = A083960(n)/A004151(n).at n=34A083961
- a(n) = (15*n^2 + 5*n + 2)/2.at n=44A093500
- Numerator of Euler(n, 8/29).at n=3A157381
- a(n) = 900*n + 1.at n=16A158407
- a(n) = 68*n^2 + 1.at n=15A158732
- Integers k such that A166100(k)/A005408(k) is not an integer.at n=28A166101
- The third left hand column of triangle A167565.at n=10A167566
- Numbers k for which 6k+1, 24k+5, 432k^2+72k-1, and 432k^2+90k-1 are all prime.at n=20A175513
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>1.at n=16A211613
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w^3<=x^3+y^3.at n=29A211807
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 833", based on the 5-celled von Neumann neighborhood.at n=24A273677
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 353", based on the 5-celled von Neumann neighborhood.at n=32A281287
- Number of sets of nonempty words with a total of n letters over quinary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter.at n=10A293744