10039
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10040
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10038
- Möbius Function
- -1
- Radical
- 10039
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 65
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1233
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of Twopins positions.at n=24A005691
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEP = Melanophlogite [Si46O92].qR starting with a T2 atom.at n=12A019156
- Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=10A023277
- 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 99.at n=21A031597
- Values of n where number of permutations of digits a(n) that are prime increases.at n=11A046891
- a(n) is the least number with exactly n permutations of digits that are primes.at n=16A046893
- Number of rooted trees with n nodes and 3 leaves.at n=24A055278
- a(n) = A053061(n)/n.at n=38A061082
- Primes p such that q-p = 22, where q is the next prime after p.at n=16A061779
- Rounded volume of a regular tetrahedron with edge length n.at n=44A071399
- Triangle read by rows in which row n gives n smallest n-digit primes.at n=13A073914
- a(n) = 2*a(n-1)+15*a(n-2) with n>0, a(0)=0, a(1)=1.at n=7A079773
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={-1}.at n=14A080011
- Primes from merging of 5 successive digits in decimal expansion of cos(1).at n=9A104961
- Zsigmondy numbers for a = 5, b = 3: Zs(n, 5, 3) is the greatest divisor of 5^n - 3^n (A005058) that is relatively prime to 5^m - 3^m for all positive integers m < n.at n=13A109347
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 7.at n=20A109561
- Start with 1 and repeatedly reverse the digits and add 38 to get the next term.at n=15A118634
- Primes of the form (3^k + 5^k)/2^3 = A074606(k)/8.at n=2A121938
- Numbers appearing in A122072 at least three times.at n=40A122384
- Smallest n-digit base-10 deletable prime.at n=4A125589