10182
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20376
- Proper Divisor Sum (Aliquot Sum)
- 10194
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3392
- Möbius Function
- -1
- Radical
- 10182
- 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
- 42
- 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
- yes
- Odd
- no
Appears in sequences
- Powers of fifth root of 3 rounded to nearest integer.at n=42A018121
- Powers of fifth root of 3 rounded up.at n=42A018122
- Powers of fifth root of 9 rounded to nearest integer.at n=21A018139
- Powers of the fifth root of 9 rounded up.at n=21A018140
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 100.at n=16A031598
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=42A053020
- Numbers which are the sum of their proper divisors containing the digit 9.at n=29A059468
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=31A063362
- Numbers k such that phi(k) + prime(k) is a triangular number.at n=35A115908
- Number of permutations of length n which avoid the patterns 2134, 3214, 4123.at n=8A116805
- Values of n such that n^a-+a are primes, a=11.at n=2A155023
- Numbers n such that n^2 + 1 is divisible by a 4th power.at n=33A218563
- Total number of parts in all partitions of n with at least one distinct part.at n=22A220477
- Number of partitions of n having standard deviation σ > 3.at n=36A238655
- Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.at n=1A253744
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.at n=7A253749
- Number of (2+1)X(n+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.at n=2A253750
- Number of inequivalent placements of n nonattacking rooks on n X n board up to rotations of the board.at n=7A263685
- Number of n X 4 0..1 arrays with every element unequal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=5A304152
- Number of nX6 0..1 arrays with every element unequal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.at n=3A304154