10412
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19320
- Proper Divisor Sum (Aliquot Sum)
- 8908
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4896
- Möbius Function
- 0
- Radical
- 5206
- 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
- 104
- 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
- Fibonacci sequence beginning 1, 27.at n=14A022397
- Coefficients of monic primitive irreducible polynomials over GF(5) listed in lexicographic order.at n=30A058950
- Numbers n such that binomial(2n, n) - 1 is prime.at n=36A066726
- a(n) = Sum_{k=1..n} 2^prime(k).at n=6A076793
- Numbers of the form Sum_{k=1..m} prime(r)^prime(k) for some values of m and r.at n=40A076794
- a(n) = floor(average of first n cubes).at n=33A078618
- Numbers m such that the permutation of the first m natural numbers R_m(n)=if(1<=n<m-pi(m), c(n), if(n=m, 1, prime(n-m-pi(m)+1))) is a cyclic permutation where c(k) is the k-th composite number(for each natural number k, c(k)=A002808(k)).at n=23A108517
- Number of squares in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid.at n=24A111746
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 101-111-010 pattern in any orientation.at n=10A146219
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 101-111-010 pattern in any orientation.at n=23A146221
- Numbers divisible by the sum of 4th powers of their digits.at n=29A169665
- Number of conjugacy classes in Chevalley group G_2(q) as q runs through the prime powers.at n=35A225929
- Number of compositions of n where no consecutive parts differ by 1.at n=18A238422
- Sequence of distinct least positive numbers such that the average of the first n terms is a Fibonacci number.at n=25A248982
- Number of length 3 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7.at n=27A258634
- Number of shapes of grid-filling curves of order 4*n+1 (on the square grid) with turns by +-90 degrees that are generated by Lindenmayer-systems with just one symbol apart from the turns.at n=14A265685
- Expansion of Product_{k>=1} (1 + (k+1)*x^k).at n=17A267008
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 777", based on the 5-celled von Neumann neighborhood.at n=6A273444
- Numbers k such that (29*10^k + 223)/9 is prime.at n=17A295608
- Number of odd parts in the partitions of n into 7 parts.at n=40A309622