10179
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 6621
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- 0
- Radical
- 1131
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 k such that 11*2^k + 1 is prime.at n=14A002261
- Centered icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice.at n=14A005902
- Geometric mean of phi(n) and sigma(n) is an integer, n odd.at n=27A015705
- Fibonacci sequence beginning 0, 27.at n=14A022361
- Values of e, the lesser key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=36A051892
- Rhombi (in 3 different orientations) in a rhombus with 60-degree acute angles.at n=28A052153
- Expansion of (1-2*x)/(1 - 3*x - x^2 + 2*x^3).at n=9A052550
- Numbers k that divide the sum of the partition numbers to k.at n=5A058856
- Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction.at n=29A063436
- Least number whose digits can be used to form exactly n different primes (not necessarily using all digits).at n=30A076449
- a(n) = n*(n - 1)*(n + 2)/2.at n=26A077414
- Least multiple of n such that every partial concatenation followed by a 1 is prime.at n=28A111436
- Where records occur in A119451.at n=14A119453
- Where records occur in A118878.at n=20A119904
- Numbers n such that n!!+2^n is prime.at n=22A124248
- Numbers n such that sigma(n)/phi(n) = 25/9, where sigma = A000203, phi = A000010.at n=1A165630
- Partial sums of A048995.at n=37A174514
- The sums of pairs of adjacent terms are the odd palindromic primes in ascending order.at n=22A181884
- Number of (n+1) X 8 binary arrays with no 2 X 2 subblock containing fewer than two 1's.at n=0A184205
- T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock containing fewer than two 1s.at n=21A184207