11710
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21096
- Proper Divisor Sum (Aliquot Sum)
- 9386
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4680
- Möbius Function
- -1
- Radical
- 11710
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 174
- 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
- yes
- Odd
- no
Appears in sequences
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=43A005735
- When expressed in base 2 and then interpreted in base 7, is a multiple of the original number.at n=32A062848
- Numbers k such that f(k), f(k+1) and f(k+2) are all primes, where f(k) = 8*k^2 + 4*k + 1.at n=39A103777
- Numbers n such that P(11*n) is prime where P(n) is the partition number.at n=19A113499
- 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, 0, -1), (1, 0, 0)}.at n=10A148231
- Numbers k such that (sum of base-2 digits of k) = (sum of base-10 digits of k) = 10.at n=15A152207
- G.f.: exp( Sum_{n>=1} A001511(n)*2^A001511(n)*x^n/n ) where A001511(n) equals the 2-adic valuation of 2n.at n=19A183036
- Numbers n such that d(n-1) = d(n+1) = 6, where d(k) is the number of divisors of k (A000005).at n=40A190267
- Number of n X n 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=3A202161
- Number of nX4 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=3A202164
- T(n,k)=Number of nXk 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease.at n=24A202168
- Number of composites removed in each step of the Sieve of Eratosthenes for 10^7.at n=25A227155
- Records in the indices of largest unsigned Stirling number of first kind: a(n) = smallest m such that c(m,n) = max_{k=0,1...,m} c(m,k).at n=10A309237
- Period of Langton's ant on an n X n torus.at n=4A309251
- a(n) = (8*n^3 + 15*n^2 + 13*n)/6.at n=20A332698
- Sphenic numbers k such that none of k-2, k-1, k+1 and k+2 is squarefree.at n=34A362561