10008
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27300
- Proper Divisor Sum (Aliquot Sum)
- 17292
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3312
- Möbius Function
- 0
- Radical
- 834
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=46A000338
- 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 25.at n=35A031523
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 25.at n=3A031703
- Numbers having three 0's in base 10.at n=16A043491
- Triangle of partial row sums of triangle A054446(n,m), n >= m >= 0.at n=58A054448
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=37A070020
- Binary and decimal representation of n concatenated.at n=7A087744
- Numbers k with property that k is a peak value in 3x+1 trajectory such that both k+1 and k-1 are prime numbers.at n=40A095385
- Numbers k for which digitsum(k) + digitsum(k^2) + digitsum(k^3) = digitsum(k^4).at n=19A118470
- A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers).at n=39A125662
- Expansion of (b(q^2) / b(q))^3 in powers of q where b() is a cubic AGM function.at n=7A128643
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 6 and 8.at n=39A136861
- a(n) = 729*n - 198.at n=13A156772
- a(n) = 625*n^2 + 2*n.at n=3A158382
- a(n) = 10^n+2*n.at n=4A173835
- Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m.at n=11A175356
- Average of twin prime pairs with multiple and strictly distinct powers.at n=20A177426
- Numbers starting with 1 such that the sum of any two distinct elements has an odd number of distinct prime factors.at n=14A180615
- Triangle read by rows: T(n,k) is the number of ternary words (i.e., finite sequences of 0's, 1's and 2's) of length n having k occurrences of 01's (0 <= k <= floor(n/2)).at n=39A181371
- a(n) is the smallest 5-digit number with exactly n divisors, or a(n) = 0 if no such number exists.at n=23A182697