8724
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20384
- Proper Divisor Sum (Aliquot Sum)
- 11660
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2904
- Möbius Function
- 0
- Radical
- 4362
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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) = Sum_{k=0..n} ceiling(k^3/n).at n=31A014813
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 62.at n=25A031560
- Number of partitions in parts not of the form 11k, 11k+1 or 11k-1. Also number of partitions with no part of size 1 and differences between parts at distance 4 are greater than 1.at n=45A035944
- Number of partitions of n into parts not of the form 25k, 25k+12 or 25k-12. Also number of partitions with at most 11 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=33A036011
- Numerators of continued fraction convergents to sqrt(154).at n=8A041282
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=21A045303
- Number of distinct differences between consecutive divisors (ordered by increasing magnitude) of n! which are not also divisors of n!.at n=20A060738
- a(n) is the number of pairs of integer quadruples (b_1, b_2, b_3, b_4) and (c_1, c_2, c_3, c_4) satisfying 1 <= b_1 < b_2 < b_3 < b_4 < n, 1 <= c_1 < c_2 < c_3 < c_4 < n, b_i != c_j for all i,j = 1,2,3,4 and Product_{i=1..4} sin(2*Pi*b_i/n) = Product_{i=1..4} sin(2*Pi*c_i/n).at n=46A063781
- Indices of primes in sequence defined by A(0) = 59, A(n) = 10*A(n-1) - 71 for n > 0.at n=10A101572
- Integers k such that 10^k - 39 is prime.at n=16A108365
- Numbers k such that k^2 + 11 and k^2 + 13 are primes.at n=36A113537
- Numbers k such that k divides 1 + Sum_{j=1..k} prime(j)^5 = 1 + A122103(k).at n=17A128169
- Start with a(1)=1; for n >= 1, a(n+1)=a(n)+a(k) with k=[n - n-th digit of sqrt(2)]. If k<0 or k=0, then a(k)=0.at n=31A133393
- First differences of A000043.at n=22A134458
- Number of different n X n symmetric matrices with nonnegative entries summing to 4. Also number of symmetric oriented graphs with 4 arcs on n points.at n=12A139594
- Numbers with distinct digits appearing in partition of decimal expansion of square root of 2. (A002193).at n=8A167834
- Convolution of A007947 with itself.at n=45A175703
- Number of nX1 0..3 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope.at n=6A223160
- T(n,k)=Number of nXk 0..3 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope.at n=21A223165
- T(n,k)=Number of nXk 0..3 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope.at n=27A223165