8714
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13074
- Proper Divisor Sum (Aliquot Sum)
- 4360
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4356
- Möbius Function
- 1
- Radical
- 8714
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of unlabeled planar trees (also called plane trees) with n nodes.at n=13A002995
- Coordination sequence for body-centered tetragonal lattice.at n=33A008527
- Coordination sequence for NiAs(2), As position.at n=44A009945
- Coordination sequence for NiAs(2), Ni position.at n=44A009946
- a(0) = 1, a(n) = 18*n^2 + 2 for n>0.at n=22A010008
- a(n) is the smallest number that is the sum of 3 nonzero squares in exactly n ways.at n=38A025414
- Base-8 palindromes that start with 2.at n=26A043022
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=4A045056
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 19.at n=6A051984
- a(0)=1, a(1)=2 and, for n>1, a(n) = a(n-1) + 11*a(n-2).at n=7A063092
- Partial sums of A038580.at n=15A086749
- Duplicate of A086749.at n=15A086750
- a(n) = (1/6)*(n^3 + 21*n^2 + 74*n + 18).at n=31A103145
- a(n) = (2*n-1)^2 + (2*n+1)^2.at n=33A108100
- Triangle read by rows: T(n,k) is the number of hill-free Schroeder paths of length 2n and having k ascents (n>=1; 0<=k<=n-1). A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis. A hill is a peak at height 1. An ascent in a Schroeder path is a maximal sequence of consecutive U steps.at n=31A114706
- A106486-encodings of combinatorial games with value -1.at n=21A125993
- a(1) = 2; a(n) is twice the previous term if it is prime, otherwise the previous term minus its lowest prime factor plus one.at n=35A180625
- Last occurrence of n partitions in A205617.at n=21A205618
- Number of primes of the form (x+1)^7 - x^7 less than 10^n.at n=30A221977
- Number of (n+5)X9 0..1 matrices with each 6X6 subblock idempotent.at n=5A224573