10117
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
- 10336
- Proper Divisor Sum (Aliquot Sum)
- 219
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9900
- Möbius Function
- 1
- Radical
- 10117
- 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
- 73
- 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
- Denominators of continued fraction convergents to sqrt(698).at n=9A042343
- a(n) = A077727(n)/n.at n=33A077728
- a(n) = A077739(n)/n.at n=24A077740
- a(n) = A078213(n)/n.at n=24A078214
- Antidiagonal sums of square array A082025.at n=23A082190
- Numbers n such that mu(n) + mu(n+1) + mu(n+2) + mu(n+3) + mu(n+4) + mu(n+5) + mu(n+6) = 6.at n=9A082967
- Main diagonal of array in A083140.at n=18A083141
- Starting term of the smallest n-chain of numbers whose squares are permutations of the same digits.at n=15A085546
- a(n) = 8*n^2 - 7*n + 1.at n=36A125201
- a(n) = 36*n^2 - 17*n + 2.at n=16A157265
- Numbers k such that the sum of the decimal digits of k is a substring of k, of k^2 and of k^3.at n=41A162017
- Numbers m such that A006218(m) is a perfect square.at n=30A175345
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=7, k=-1 and l=1.at n=6A177198
- Numbers which may represent a date in "condensed European notation" DDMMYY.at n=17A213182
- Numbers which may represent a date in "condensed American notation" MMDDYY.at n=17A213184
- Numbers with exactly 11 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=3A213318
- Shifts 8 places left under Euler transform with a(0)=0 and a(n)=1 for n<8.at n=33A218025
- Numbers n such that Q(sqrt(n)) has class number 7.at n=34A218039
- Fundamental discriminants of real quadratic number fields with class number 7.at n=22A218157
- Terms in A247665 that are less than the previous term.at n=46A248389