13300
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 34720
- Proper Divisor Sum (Aliquot Sum)
- 21420
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 1330
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 138
- 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
- 4-dimensional pyramidal numbers: a(n) = n^2*(n^2-1)/12.at n=20A002415
- sin(arcsinh(x)+log(x+1)) = 2*x-1/2!*x^2-7/3!*x^3+18/4!*x^4-5/5!*x^5...at n=8A013070
- a(n) = (3*n+1)*(4*n+1).at n=33A033577
- Numbers k such that 27*2^k-1 is prime.at n=31A050539
- Number of rounds of shuffling required to restore a deck of n cards to its original order: shuffling is done by keeping first card, putting second at end of deck, keeping next, putting next at end and so on.at n=57A051732
- Partial sums of A007584.at n=13A051740
- 19-gonal (or enneadecagonal) numbers: n(17n-15)/2.at n=40A051871
- Row sums of triangle A053218.at n=10A053221
- Number of walks of length n on square lattice, starting at origin, staying on points with x >= 0, y <= x.at n=8A060900
- Multiples of 7 whose sum of digits is equal to 7.at n=28A063416
- Sum of diagonal elements and those below it for a square matrix of integers, starting with 1.at n=13A066804
- Row 4 of table in A067640.at n=1A067639
- Table T(n,k) giving number of two-legged knot diagrams with n >= 0 self-intersections and k >= 0 tangencies, read by antidiagonals.at n=16A067640
- Column 1 of table in A067640.at n=4A067641
- Sum of squares of digits of n is equal to the largest prime factor of n.at n=34A074302
- An interleaved sequence of pyramidal and polygonal numbers.at n=38A081283
- Sum of diving indices of all 4k+3 integers in range ]2^n,2^(n+1)].at n=10A095109
- a(n) = (2/(n-1))*a(n-1) + ((n+5)/(n-1))*a(n-2) with a(0)=0 and a(1)=1.at n=37A096338
- Structured truncated cubic numbers.at n=13A100152
- A002415 and A052472 interlaced.at n=39A117651