10075
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13888
- Proper Divisor Sum (Aliquot Sum)
- 3813
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7200
- Möbius Function
- 0
- Radical
- 2015
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- no
- Odd
- yes
Appears in sequences
- Values B(2,n)/4 of Gandhi polynomials defined by B(x,0)=x and B(x,n) = x^2 (B(x+1,n-1) - B(x,n-1)).at n=4A005989
- a(n) = n*(21*n-1)/2.at n=31A022278
- T(n,n+1), array T as in A047110.at n=8A047116
- Product of the first n 3-almost primes, divided by product of the first n primes, rounded down.at n=9A122032
- 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, -1, 1), (-1, 1, 0), (0, 0, -1), (1, 0, 1)}.at n=9A148680
- Partial sums of A160120.at n=34A162778
- Twin natural nonprimes with nonprime number of prime factors.at n=41A171995
- Values x for records of the minima of the positive distance d between the eleventh power of a positive integer x and the square of an integer y such that d = x^11 - y^2 (x <> k^2 and y <> k^11).at n=42A179794
- Numbers k such that 2^k-61 is prime.at n=33A182156
- Number of 4-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions.at n=16A187608
- Number of n X 4 binary arrays without the pattern 0 1 diagonally or vertically.at n=16A188838
- -5-Knödel numbers.at n=21A225509
- Sum of the numbers in row n of the array at A242365.at n=10A243736
- Number of orbits of Aut(Z^7) as function of the infinity norm n of the representative lattice point of the orbit, when the cardinality of the orbit is equal to 13440.at n=31A266398
- Sum of squares of numbers less than n that do not divide n.at n=31A276984
- Numbers with digit sum 13 that are multiples of 13.at n=36A283737