8771
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10260
- Proper Divisor Sum (Aliquot Sum)
- 1489
- 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
- 7476
- Möbius Function
- 0
- Radical
- 1253
- Omega Function (Ω)
- 3
- 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
- 140
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = a(n-2) + a(n-5).at n=49A001687
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=34A002597
- Number of binary words of length n in which the ones occur only in blocks of length at least 4.at n=23A005253
- a(n) = floor((3rd elementary symmetric function of 2,3,...,n+3)/(2+3+...+n+3)).at n=18A024178
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones.at n=6A031785
- Multiplicity of highest weight (or singular) vectors associated with character chi_53 of Monster module.at n=51A034441
- Number of binary rooted trees with n nodes and height exactly 6.at n=20A036595
- Denominators of continued fraction convergents to sqrt(94).at n=10A041169
- a(n) = floor(e^n mod n^e).at n=33A066433
- Expansion of 1/(1-x^2*(1+x)^3).at n=16A116090
- Number of partitions of n having no doubletons. By a doubleton in a partition we mean an occurrence of a part exactly twice (the partition [4,(3,3),2,2,2,(1,1)] of 18 has two doubletons, shown between parentheses).at n=37A116645
- Numbers k such that 2^(k+1) + 3^k is prime.at n=43A123924
- Number of simple graphs on at most 16 unlabeled vertices with maximal degree at most 4 with a single cycle of length 16-n.at n=8A125064
- Triangle of numbers obtained from the partition array A134284.at n=38A134285
- Transform of the finite sequence (1, 0, -1, 0, 1, 0, -1) by the T_{0,0} transformation (see link).at n=12A159349
- Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=29A165378
- a(n) = 7*a(n-1) - 14*a(n-2) + 7*a(n-3) with a(0)=0, a(1)=1, a(2)=4.at n=8A215493
- Numbers which are the sums of consecutive fourth powers.at n=36A217844
- Number of cyclotomic cosets of 3 mod 10^n.at n=33A220018
- a(n) = n*prime(prime(n)) - prime(n)^2.at n=35A230098