10207
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
- 10440
- Proper Divisor Sum (Aliquot Sum)
- 233
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9976
- Möbius Function
- 1
- Radical
- 10207
- 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
- 86
- 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
- Least m such that if r and s in {1/1, 1/4, 1/9,..., 1/n^2} satisfy r < s, then r < k/m < s for some integer k.at n=30A024827
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=33A024847
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 15 ones.at n=10A031783
- Denominators of continued fraction convergents to sqrt(923).at n=10A042785
- Same rule as Aitken triangle (A011971) except a(0,0)=1, a(1,0)=0.at n=46A046934
- Sequence formed from rows of triangle A046934.at n=36A046935
- Numbers k such that k^8 == 1 (mod 9^3).at n=28A056084
- Least x = a(n) such that sum of common prime divisors (without multiplicity) of sigma(x) and phi(x) equals n, or 0 if such number (apparently) does not exist.at n=30A082056
- Expansion of (1 - x - sqrt(1 - 2*x - 23*x^2))/(12*x^2).at n=7A091149
- Interpolate 0's between each pair of digits of n-th prime.at n=30A092909
- a(n) = floor(11^n/9^n).at n=46A094997
- a(n) = n-th centered n-gonal number.at n=27A100119
- Number of polyominoes consisting of 5 regular unit n-gons.at n=43A103471
- Semiprimes n such that 3*n + 4 is a square.at n=20A112666
- Numbers n such that 11*n | 5^n - 3.at n=5A125285
- a(n) = A137576((3^n-1)/2).at n=7A140320
- Numbers k such that k^2 == 2 (mod 23^2).at n=38A156849
- a(n) = 729*n + 1.at n=13A158397
- a(n) = 14*n^2 + 1.at n=26A158482
- a(n) is the smallest number m from A173977 for which A020639(2m-1) = prime(n).at n=31A173979