10692
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 30576
- Proper Divisor Sum (Aliquot Sum)
- 19884
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3240
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 8
- 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
- 117
- 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
- Number of walks on cubic lattice.at n=35A005570
- a(n) = (2*n - 3)n^2.at n=18A015238
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=48A017854
- Number of (undirected) Hamiltonian paths in n-Moebius ladder.at n=22A020875
- Sum of odd divisors of n < sqrt(n) = sum of even divisors of n < sqrt(n).at n=7A033832
- Denominators of continued fraction convergents to sqrt(122).at n=3A041221
- a(n) = Sum_{d|3} phi(d)*n^(3/d).at n=22A054602
- 4n^2+1, 2n^2+1, 2n^2-1 are all prime.at n=28A055755
- McKay-Thompson series of class 18B for the Monster group.at n=19A058532
- a(1) = 2, a(n) = smallest (nontrivial) multiple of a(n-1) containing n digits, a(n) not equal to 10*a(n-1).at n=4A080446
- a(1) = 3, a(n) = smallest (nontrivial) multiple of a(n-1) containing n digits, a(n) not equal to 10*a(n-1).at n=4A080447
- a(1) = 4, a(n) = smallest (nontrivial) multiple of a(n-1) containing n digits, a(n) not equal to 10*a(n-1). Also a(n) is not divisible by 10.at n=4A080448
- a(1) = 6, a(n) = smallest (nontrivial) multiple of a(n-1) containing n digits, a(n) not equal to 10*a(n-1). Also a(n) is not divisible by 10.at n=4A080450
- a(1) = 9, a(n) = smallest (nontrivial) multiple of a(n-1) containing n digits, a(n) not equal to 10*a(n-1).at n=4A080453
- a(n) = 15n^2 + 13n^3.at n=9A085377
- a(n) is the area of the triangle with sides prime(n), prime(n+2) and prime(n+4), rounded down to the nearest integer.at n=31A096384
- Primal codes of finite permutations on positive integers.at n=30A109297
- Starting with 1, each number is the previous number plus the product of the index number and the sum of the digits of the previous number.at n=34A113904
- a(n) = binomial(2*n,n)*(n+3)^2/(n+1).at n=6A119575
- A090801(2n-1)+A090801(2n).at n=28A140958