10605
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19584
- Proper Divisor Sum (Aliquot Sum)
- 8979
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 1
- Radical
- 10605
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- a(n) = (4*n+1)*(4*n+5).at n=25A003185
- Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n).at n=19A005718
- a(n) = A027113(n, n+2).at n=12A027114
- a(n) = (n - 1)*(n^2 + n - 1).at n=22A033445
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=13A033829
- Numbers with exactly 4 distinct palindromic prime factors.at n=23A046402
- Odd numbers with exactly 4 distinct palindromic prime factors.at n=1A046406
- Number of 3 X 3 stochastic matrices under row and column permutations.at n=40A052282
- a(n) = floor(n^log(n)).at n=20A061567
- Number of partitions of n into deficient numbers.at n=35A097797
- a(n) = prime(n^2) - n^2.at n=37A141129
- Third trisection of A061037.at n=33A142600
- a(n) = (8*n+5)*(8*n+9).at n=12A146302
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, 0), (0, 1), (1, -1), (1, 0)}.at n=8A151283
- Numerator of Euler(n, 1/22).at n=4A156860
- G.f. is the polynomial (Product_{k=1..21} (1 - x^(3*k)))/(1-x)^21.at n=4A162646
- a(n) = prime(n)^2-4.at n=26A166010
- Trisection A061037(3*n-2) of the Balmer spectrum numerators extended to negative indices.at n=35A174325
- Quintisection A061037(5*n-2).at n=21A174850
- Table of coefficients of a polynomial sequence of binomial type related to the enumeration of minimax trees A080795.at n=24A185419