10716
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 16164
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3312
- Möbius Function
- 0
- Radical
- 5358
- Omega Function (Ω)
- 5
- 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
- 29
- 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
- Numbers such that ten iterations of Reverse and Add are needed to reach a palindrome.at n=16A015991
- Numerators of continued fraction convergents to sqrt(283).at n=7A041532
- Convolution triangle of A000129(n) (Pell numbers).at n=48A054456
- Number of step shifted (decimated) sequences using exactly four different symbols.at n=7A056378
- Numbers which need ten 'Reverse and Add' steps to reach a palindrome.at n=15A065215
- Number of labeled ordered trees with n nodes such that the root is smaller than all its children.at n=4A071214
- Third convolution of A000129(n+1) (generalized (2,1)-Fibonacci, called Pell numbers), n>=0, with itself.at n=6A073380
- Fibonacci sequence beginning 12, 67.at n=12A091074
- a(n) = n*(n+1)*(n^2 + 21*n + 50)/24.at n=17A101854
- Indices of primes in sequence defined by A(0) = 23, A(n) = 10*A(n-1) + 33 for n > 0.at n=19A101964
- a(n) = floor(r^n) where r is the smallest Pisot number (real root r=1.3247179... of x^3-x-1).at n=33A112639
- Positive solutions x to the equation x^2 + (x+71)^2 = y^2.at n=10A118673
- Number of ways to place 2 queens on an n X n chessboard so that they attack each other.at n=18A144945
- Totally multiplicative sequence with a(p) = 7p-2 for prime p.at n=41A166671
- Triangle read by rows: Partial row sums of A181853(n,k).at n=34A181854
- Number of integers k such that floor((r^n)/k)=n, where r = golden ratio = (1+sqrt(5))/2.at n=33A182613
- Smallest number k such that k^n is the sum of numbers in a twin prime pair.at n=36A195336
- [s(k)-s(j)]/7, where the pairs (k,j) are given by A205862 and A205863, and s(k) denotes the (k+1)-st Fibonacci number.at n=35A205865
- Sum_{0<j<k<=n} P(k)-P(j), where P(j)=A065091(j) is the j-th odd prime.at n=23A206803
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -1<=w+x+y<=1.at n=35A211615