10174
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15264
- Proper Divisor Sum (Aliquot Sum)
- 5090
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5086
- Möbius Function
- 1
- Radical
- 10174
- 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
- yes
- Odd
- no
Appears in sequences
- 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=14A031598
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=38A031816
- a(n) is number of strings of length n that can be obtained by starting with abc and repeatedly doubling any substring in place and then discarding any string that contains two successive equal letters.at n=20A135017
- Sum of the products of the first n prime pairs.at n=8A135232
- Record indices of the ratio A002375(n) / n (Goldbach conjecture related).at n=39A137820
- Numbers with exactly 12 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=20A213319
- Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 3 array.at n=21A219514
- Positions of records in A166133.at n=28A256404
- Numbers n such that A166133(n) sets a new record and also satisfies A166133(n)=A166133(n-1)^2-1.at n=13A256422
- Numbers n such that the decimal expansions of both n and n^2 have 0 as smallest digit and 7 as largest digit.at n=31A256634
- Expansion of 1/(1 - x - x^2 - x^4 + x^5 + x^7).at n=19A260710
- Sum over all partitions of n of the bitwise OR of the parts.at n=22A306902
- Even numbers n such that A048633(n+1) = A048633(n).at n=38A331586
- Numbers k that are a substring of xPy where k=concatenation(x,y) and xPy is the number of permutations A008279(x,y).at n=33A359012
- Number of edges in a Farey fan of order n.at n=36A360043