10057
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
- 4
- Divisor Sum
- 10260
- Proper Divisor Sum (Aliquot Sum)
- 203
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9856
- Möbius Function
- 1
- Radical
- 10057
- 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
- 117
- 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
- Quadruples of different integers from [ 2,n ] with no global factor.at n=23A015627
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=17A020396
- Shifts left under transform in formula line.at n=49A052336
- Expansion of 1/((1-x)(1-x-x^2)(1-x-x^2-x^3)).at n=12A095681
- Triangle read by rows: T(n, k) = binomial(n, k) + 2*(1 + n! - k! - (n-k)!).at n=31A156049
- Triangle read by rows: T(n, k) = binomial(n, k) + 2*(1 + n! - k! - (n-k)!).at n=32A156049
- Product of exactly two distinct primes congruent to 1 mod 8 (A007519).at n=35A185377
- The sum of the Fibonacci and shifted tribonacci sequences.at n=18A186272
- Number of (n+2) X 3 binary arrays avoiding patterns 000 and 101 in rows and columns.at n=5A203084
- Number of (n+2)X8 binary arrays avoiding patterns 000 and 101 in rows and columns.at n=0A203089
- T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 101 in rows and columns.at n=15A203091
- T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 000 and 101 in rows and columns.at n=20A203091
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.at n=52A207785
- Number of partitions of n+5 with largest inscribed rectangle having area <= n.at n=28A218626
- Composite numbers coprime to 6 such that A179382(n) = A000265(n-1), the odd part of n-1.at n=21A225913
- Squarefree numbers (A005117) with prime factors in a prime(k) + k progression.at n=7A232169
- Squarefree numbers (A005117) of form prime(k)*q where q = primes of the form prime(k) + k.at n=6A232170
- Number of partitions of n which have nonconstant reversal sums, as defined in Comments.at n=32A236170
- Number of partitions of n such that at least half the parts are identical.at n=37A237269
- Semiprimes whose prime factors are of equal binary length and which differ from each other in exactly two bit positions.at n=32A261074