10027
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10336
- Proper Divisor Sum (Aliquot Sum)
- 309
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9720
- Möbius Function
- 1
- Radical
- 10027
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 91
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Pseudoprimes to base 28.at n=33A020156
- a(n) is the position of cube of the n-th prime among the powers of primes (A000961).at n=14A024625
- Positions of cubes among the powers of primes (A000961).at n=22A024627
- Numerator of Sum_{k=1..n} 1/phi(k).at n=25A028415
- 17-gonal (or heptadecagonal) numbers: a(n) = n*(15*n-13)/2.at n=37A051869
- a(1)=0 a(2)=3 a(n+2)=(a(n+1)+a(n))/3 if (a(n+1)+a(n)==0 (mod 3)); a(n+2)=a(n+1)+a(n) otherwise.at n=53A069203
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=40A092231
- G.f. x*(x^2+1)*(x^3-x-1)/((2*x^3+x^2-1)*(x^4+1)).at n=24A107854
- Divisors of 10^15 - 1.at n=27A111117
- Start with 1 and repeatedly reverse the digits and add 36 to get the next term.at n=24A118536
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1001-1001-1111 pattern in any orientation.at n=19A147409
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, -1), (1, 0, 1), (1, 1, 0)}.at n=7A150735
- Expansion of x*(1+x)/(1-x^2-2*x^3).at n=24A159284
- Numbers k such that the sum of the decimal digits of k is a substring of k, of k^2 and of k^3.at n=32A162017
- a(n+1) is the smallest integer > a(n) such that the concatenation of [a(n+1)-a(n)] and a(n+1) is a prime number.at n=54A173699
- Half the number of n X n symmetric binary matrices with no element equal to a strict majority of its knight-move neighbors.at n=6A190630
- a(n) = Sum_{k=0..n} (-1)^(n-k)*floor(sqrt(Bell(k))).at n=14A192572
- Nonprime numbers with all divisors with additive digital root of 1.at n=27A211822
- Number of partitions of n such that (greatest part) > (multiplicity of least part).at n=34A240184
- Lengths of runs of identical terms in A253443.at n=32A253444