13895
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19104
- Proper Divisor Sum (Aliquot Sum)
- 5209
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9504
- Möbius Function
- -1
- Radical
- 13895
- 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
- 138
- 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
- Sum of 10 nonzero 8th powers.at n=24A003388
- Expansion of 1/((1-6x)(1-8x)(1-9x)(1-12x)).at n=3A028212
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n-4)/2.at n=18A048065
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n+2)/3.at n=18A048076
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/5 of the elements are <= (n+3)/3.at n=18A048087
- Partial sums of the partition function (A000041), with the last term subtracted. Also the sum of the row of the character table for S_n corresponding to the partition n-1,1 for n>1. Also the sum over all partitions lambda of n of one less than the number of 1's in lambda.at n=29A058884
- Integers i > 1 for which there is no prime p such that i is a solution mod p of x^4 = 2.at n=24A065903
- Index of first occurrence of n in A091853, or 0 if no such number exists.at n=35A091854
- Smallest number whose seventh power has at least n digits.at n=29A130081
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, 1), (1, -1, 1), (1, 1, -1)}.at n=9A148469
- Exponential Riordan array (e^x,A005043(x)).at n=31A185814
- Numbers k such that k^8 starts with k itself (in base 10).at n=11A233454
- Number of Fermat pseudoprimes to base 2 between 2^n and 2^(n+1) that are not Carmichael numbers.at n=36A252943
- a(1) = 6; for n > 1, a(n) = the least squarefree composite number whose sum of prime factors is prime and whose greatest prime factor is the sum of prime factors of a(n-1).at n=45A262081
- Values of a^3 + b^3 such that the equation a^3 + b^3 = x^2 + y^2 + z^2 is not soluble where a, b > 0 and x, y, z >= 0.at n=33A272174
- Indices at which record high values occur in A367821.at n=13A367854
- Numbers that are the concatenation of three (not necessarily distinct) primes whose sum is prime, and are also the product of three (not necessarily distinct) primes whose sum is prime.at n=35A385452
- a(n) = n*(n + 1)*(n^2 + 17*n + 54)/24.at n=20A387204