8756
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 8044
- 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
- 3960
- Möbius Function
- 0
- Radical
- 4378
- Omega Function (Ω)
- 4
- 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
- 34
- 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
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=44A004946
- Number of partitions of n in which no parts are multiples of 5.at n=36A035959
- Triangle of numbers a(n,k) = number of terms in n X n determinant with 2 adjacent diagonals of k and k-1 0's (0<=k<=n).at n=42A047922
- Number of consecutive prime runs of just 4 primes congruent to 1 mod 4 below 10^n.at n=6A092645
- a(n) = (15*n^2 + 5*n + 2)/2.at n=33A093500
- a(n) = Sum_{i=0..n} i*L(i), where L = A000032.at n=12A097039
- A Binet like formula using the Akiyama-Thurston tile roots for a Minimal Pisot theta0 sequence.at n=33A097600
- Number of permutations on [n] whose local maxima are in ascending order.at n=7A105072
- Records in A119451.at n=21A119452
- Numbers k such that k and k^2 use only the digits 3, 5, 6, 7 and 8.at n=6A137132
- Numbers that take a record number of steps to appear in A181391.at n=42A171863
- Numbers n with property that concatenation (2*n+1)//n of the decimals is a square.at n=5A176185
- Numbers k such that 4^k + k^4 - 1 is prime.at n=6A216424
- Number of n-digit primes that are the sum of six consecutive squares of nonnegative numbers.at n=10A218211
- Numbers k such that 18*k+1 is a square.at n=44A219395
- Partial sums of cuban primes A002407, that is, primes equal to the difference of two consecutive cubes.at n=13A221793
- Number of partitions of n such that m(greatest part) >= m(1), where m = multiplicity.at n=38A240080
- Numbers n such that the smallest prime divisor of n^2+1 is 89.at n=33A248551
- Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=4A251945
- Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=2A251947