10157
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11616
- Proper Divisor Sum (Aliquot Sum)
- 1459
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8700
- Möbius Function
- 1
- Radical
- 10157
- 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
- 179
- 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
- Number of symmetric foldings of 2n+1 stamps.at n=9A007822
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=30A020417
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 22.at n=33A051963
- a(n) = A077698(n+1)/A077698(n).at n=12A077699
- Number of primes between n^2 and n^3.at n=48A079648
- Sum of the prime(n) primes following prime(n).at n=15A099274
- Number of base 11 circular n-digit numbers with adjacent digits differing by 7 or less.at n=4A125423
- Dispersion of A016873, (5k+2), by antidiagonals.at n=30A191704
- Number of -n..n arrays x(0..3) of 4 elements with zero sum and no element more than one greater than the previous.at n=32A199848
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210858; see the Formula section.at n=52A210859
- Numbers with exactly 11 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=12A213318
- Unmatched value maps: number of nX5 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX5 array.at n=3A219438
- T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array.at n=31A219441
- Unmatched value maps: number of 4Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 4Xn array.at n=4A219442
- Number of Gram blocks [g(j), g(j+1)) up to 10^n, 0 <= j < 10^n, which contain exactly two zeros of Z(t), where Z(t) is the Riemann-Siegel Z-function.at n=3A231164
- Number of compositions of n into distinct parts with exactly two descents.at n=22A241721
- Numbers k such that b(k) is prime, where b(1) = prime(1) = 2, b(n) = 10*b(n-1) + (prime(n) mod 10).at n=14A276481
- Partial sums of A304077.at n=41A304079
- Number of even parts in the partitions of n into 8 parts.at n=39A309630
- a(1) = 1; a(n+1) = Sum_{k=1..n} a(k) * ceiling(n/k).at n=11A332846