10257
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14784
- Proper Divisor Sum (Aliquot Sum)
- 4527
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6288
- Möbius Function
- -1
- Radical
- 10257
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers with exactly five distinct base-10 digits.at n=15A031987
- Numbers k such that 139*2^k-1 is prime.at n=37A050595
- G.f.: (x+4*x^3+x^5)/((1-x)^2*(1-x^2)^2*(1-x^3)).at n=25A083707
- Terms m of A003337 such that m+1 is also in A003337. I.e., smaller one of two consecutive numbers, both equal to a sum of three 4th powers.at n=2A085322
- a(n) = Sum_{i=1..n} C(i+2,3)^4.at n=2A086022
- Next term is the sum of previous term and the square of the sum of its decimal digits, with a(0) = 10.at n=33A112787
- Partial sums of A102540 (primes that are not Chen primes).at n=33A115606
- Number of 4-tuples of primes in arithmetic progression less than 10^n.at n=3A115609
- Numbers k such that k + sigma(k) + phi(k) is a square.at n=17A116009
- A106486-encodings of combinatorial games with value 1.at n=41A125992
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k UUU's (triplerises) (n >= 0; 0 <= k <= n-2 for n >= 2).at n=32A128719
- Numbers of the form 56+p^2 (where p is a prime).at n=25A138690
- Number of (w,x,y) with all terms in {0,...,n} and w>=range{w,x,y}.at n=25A212968
- Concatenate n-th composite integer with concatenation of its prime factors in ascending order and the sum of its prime factors.at n=4A245316
- Number of length n+2 0..2 arrays with at most one downstep in every n consecutive neighbor pairs.at n=11A255109
- Number of n-bead ternary necklaces (no turning over allowed) that avoid the subsequence 110.at n=11A274018
- Numbers k such that k!6 + 8 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=15A288152
- Numbers k with exactly three distinct prime factors and such that cototient(k) is a square.at n=31A306670
- a(n) = floor(2^n csc(1/n)).at n=9A333186
- Third Lie-Betti number of a path graph on n vertices.at n=36A361230