10070
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
- 16
- Divisor Sum
- 19440
- Proper Divisor Sum (Aliquot Sum)
- 9370
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 1
- Radical
- 10070
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 135
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = natural numbers, t = odd natural numbers.at n=37A024862
- Numbers having three 0's in base 10.at n=24A043491
- a(n) = Sum_{k=1..floor(n/2)} T(n, 2k), array T as in A049777.at n=37A049779
- 4-almost primes equal to the product of two successive semiprimes.at n=33A108215
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 7 and 9.at n=27A136865
- a(n) = 250*n - 180.at n=41A154360
- The Riordan square of the little Schröder numbers A001003.at n=50A172094
- Difference between maximum and minimum positive value y in solutions to x^2 - y^2 = n!.at n=4A181895
- Number of right triangles on a (n+1)X6 grid.at n=13A189810
- Sums of the diagonals of the matrix formed by listing the h-Stohr sequences in increasing order.at n=19A193911
- Numbers n where abs(s(n)) produces a new minimum, with s(1) = 1 and s(i) = s(i-1) - sign(s(i-1))*(1/i).at n=49A203812
- Number of partitions of n such that 2*(greatest part) > (number of parts).at n=33A237754
- Least number k >= 0 such that (n!+k)/(n+k) is prime.at n=5A242568
- Numbers n such that (k!+n)/(k+n) is prime for some k.at n=15A242916
- Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=2A252326
- Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=2A252329
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=12A252334
- Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.at n=7A260836
- Expansion of Sum_{k>=1} (k*(5*k - 3)/2)*x^k/(1 - x^k).at n=54A278947
- Numbers in which 0 outnumbers all other digits together.at n=35A292730