8746
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13122
- Proper Divisor Sum (Aliquot Sum)
- 4376
- 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
- 4372
- Möbius Function
- 1
- Radical
- 8746
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 87.at n=5A020426
- Numbers whose set of base-7 digits is {3,4}.at n=38A032831
- Numerators of continued fraction convergents to sqrt(219).at n=6A041408
- Numbers whose base-7 representation contains exactly four 3's.at n=24A043408
- Starting from generation 6 add previous and next term yielding generation 7.at n=32A048453
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=33A073735
- Least x>=3 such that F(x)==1 (mod 3^n) where F(x) denotes the x-th Fibonacci number (A000045).at n=8A079004
- G.f. A(x) satisfies A(x) = 1 + x*(1+x+x^2)*A(x)^2.at n=8A084781
- Molien series for 16-dimensional group of structure O_{4}^{+}(2) and order 72, corresponding to genus 2 complete weight enumerators of Hermitian self-dual GF(2)-linear codes over GF(4).at n=8A092201
- Number of palindromes (in base 3) below 3^n.at n=15A117862
- a(n) = a(n-1) + Fibonacci(n), a(1)=1983.at n=17A166876
- Second edge diagonal of table A176577. (The first edge diagonal is A099627).at n=30A176575
- Start with 3. If a, b in sequence, so is ab+1.at n=32A180432
- Numbers k for which sigma(k) = 2 mod 4 and omega(sigma(k)/2) < omega(k).at n=39A195900
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element at a city block distance of two, and containing the value n(n+1)/2-2.at n=15A212031
- Number of 3 X n arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 3 X n array.at n=8A219596
- Number of partitions p of n such that (number of even numbers in p) < (number of odd numbers in p).at n=36A241636
- Indices of powers of 2 in A098550.at n=13A251393
- Composite numbers n such that Sum_{k = 0..n} (-1)^k * C(n,k) * C(2*n,k) == -1 (mod n^3) (see A234839).at n=17A268303
- Numbers k such that 3*10^k - 49 is prime.at n=22A274037