10194
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20400
- Proper Divisor Sum (Aliquot Sum)
- 10206
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3396
- Möbius Function
- -1
- Radical
- 10194
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 179
- 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
- Representation degeneracies for Neveu-Schwarz strings.at n=23A005299
- a(0) = 1, a(n) = 13*n^2 + 2 for n>0.at n=28A010004
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VET = VPI-8 [Si17O34] starting with a T1 atom.at n=12A019247
- Pisot sequence T(4,9), a(n) = floor(a(n-1)^2/a(n-2)).at n=10A019492
- a(n) = 3*a(n-1) - 4*a(n-3) + a(n-6).at n=10A019493
- 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=17A031598
- Shifts left under inverse Euler transform.at n=40A038071
- Starting from generation 7 add previous and next term yielding generation 8.at n=21A048454
- Numbers which are the sum of their proper divisors containing the digit 9.at n=30A059468
- Convolution of sigma(n) with phi(n).at n=37A086733
- Number of prime pairs below 10^n having a difference of 36.at n=6A093972
- Triangle read by rows: coefficients d(n,k) of André polynomials D(x,n) = Sum_{k>0} d(n,k)*x^k.at n=27A094503
- Triangle read by rows: T(n,k) = (k+1)*T(n-1,k) + (n-k+1)*T(n,k-1).at n=30A096078
- a(1) = 932; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=30A105213
- Triangle read by rows: number of simsun n-permutations with k descents.at n=26A113897
- Counts Bell numbers (except for Catalans) associated with the partition number [n].at n=8A127745
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, -1), (1, -1, 0), (1, 0, 1)}.at n=10A148223
- Irregular triangle: nonzero differences A179313(n,k) - A127742(n,k), read by rows.at n=26A179315
- Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=26A213319
- Numbers k such that P = 2^k - 1 - Sum_{primes p<k} 2^(p-1) is prime.at n=22A215891