13501
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
- 4
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 611
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12892
- Möbius Function
- 1
- Radical
- 13501
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 138
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=12A031844
- Numbers k such that k^14 == 1 (mod 15^3).at n=16A056087
- Sum of all the decimal digits of numbers from 1 to 10^n.at n=2A078427
- Nearest integer to 1/(Sum_{k>=n} 1/k^4).at n=16A083559
- a(n) = 900*n + 1.at n=14A158407
- a(n) = 60*n^2 + 1.at n=15A158673
- a(n) = n*(2*n^2 + 5*n + 1)/2.at n=22A162254
- Least number k such that the polynomial x^n - x^(n-1) - ... - 1 (mod k) has more than n distinct zeros.at n=6A211672
- Numbers k such that 25*k+36 is a square.at n=46A222964
- a(n) = floor(1/(zeta(4) - Sum_{h=1..n} 1/h^4)).at n=15A248230
- Number of times a number of the form 4n+2 is encountered when iterating from 2^(n+1)-2 to (2^n)-2 with the map x -> x - (number of runs in binary representation of x).at n=18A255126
- Number of partitions of n^2 into at most 9 square parts.at n=31A255213
- Number of partitions of n^3 into at most two parts.at n=30A274324
- Expansion of Product_{k>=1} ((1 + x^k) / (1 + x^(2*k)))^k.at n=22A285289
- Numbers that cannot be written as a difference of 11-smooth numbers.at n=10A326319
- Nonprime numbers k whose arithmetic derivative k' (A003415) is a Fibonacci number (A000045).at n=33A362141
- Final term of commas sequence (cf. A121805) if start at 1 and do the calculations in base n; or -1 if the sequence is infinite.at n=22A367605
- a(n) = 2 + n^2*floor((n+3)/2) + floor(3*n/2).at n=28A370754
- Expansion of (x/(8 * (1-x))) * d/dx(theta_3(x)^4).at n=32A374535
- Expansion of 1/sqrt((1 - x^4)^2 - 4*x).at n=8A376792