10698
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21408
- Proper Divisor Sum (Aliquot Sum)
- 10710
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3564
- Möbius Function
- -1
- Radical
- 10698
- 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
- 47
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- T(n,n+3), array T given by A047010.at n=7A047018
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of 8 musical tones: 8/7 16/11 5/4 4/3 3/2 8/5 11/8 7/4.at n=38A060527
- Numbers k such that k*prime(k) -+ 1 are twin primes.at n=36A085637
- Lengths of bit runs in A123504.at n=43A123505
- Numbers that are the sum of two reversed consecutive primes in more than one way.at n=33A162705
- Integers n such that 6n, 36n, and 216n fall between pairs of twin primes, that is, 6n-1, 6n+1, 36n-1, 36n+1, 216n-1, and 216n+1 are prime.at n=10A192851
- Minimum value unattainable as the sum of 2 attained values of a*b+a*c+b*c with a,b,c 0..n integers.at n=44A225272
- Number of isosceles triangles, distinct up to congruence, on a centered hexagonal grid of size n.at n=43A241237
- Number of partitions of n into 6 parts such that every i-th smallest part (counted with multiplicity) is different from i.at n=39A244242
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 214", based on the 5-celled von Neumann neighborhood.at n=30A270907
- a(n) is the number of decompositions of H(n,1) into disjoint unions of H(j,k) where H(j,k) is the set of numbers { (2*i-1)*(2*k-1), 1 <= i <= j }.at n=33A336739
- a(n) = (n^3 + 6*n^2 + 17*n + 6)/6.at n=38A341209
- Irregular triangle T(n,k) (n >= 0, k >= 2) read by rows. Consider the planar graph formed from an equilateral triangle with n equally spaced points placed on each edge, as discussed in A092867(n+1). Then T(n,k) is the number of interior points where exactly k chords cross.at n=35A366479