10217
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10836
- Proper Divisor Sum (Aliquot Sum)
- 619
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9600
- Möbius Function
- 1
- Radical
- 10217
- 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
- 91
- 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
- Numbers k such that 39*2^k + 1 is prime.at n=36A002269
- Coefficients of modular function G_4(tau).at n=33A005762
- Pseudoprimes to base 59.at n=40A020187
- Strong pseudoprimes to base 59.at n=16A020285
- Numbers k such that the continued fraction for sqrt(k) has period 35.at n=21A020374
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=46A025202
- a(n) is the least index such that the least primitive root of the a(n)-th prime is n, or zero if no such prime exists.at n=19A066529
- Numbers n such that n and the n-th prime have the same digits.at n=32A074350
- Interprimes which are of the form s*prime, s=17.at n=6A075292
- Structured hexagonal anti-prism numbers.at n=16A100183
- Multiples of 17 containing a 17 in their decimal representation.at n=18A121037
- Odd interprimes divisible by 17.at n=34A124620
- Product of exactly two distinct primes congruent to 1 mod 8 (A007519).at n=37A185377
- Numbers with exactly 11 nonprime substrings (substrings with leading zeros are considered to be nonprime).at n=24A213318
- Terms of A121707 not in A267999.at n=40A306097
- a(n) = n! * [x^n] exp(exp(n*x)/(1 - x) - 1).at n=4A308330
- Underline the central digit of all terms: the underlined digits reconstruct the starting sequence. This is also true if one translates the sequence in French and underlines the central letter of each word: the underlined letters spell the (French) sequence again. This is the lexicographically earliest sequence where repeated terms are admitted.at n=22A319718
- Underline the central digit of all terms: the underlined digits reconstruct the starting sequence. This is also true if one translates the sequence in French and underlines the central letter of each word: the underlined letters spell the (French) sequence again. This is the lexicographically earliest sequence of distinct terms.at n=22A319921
- Number of parts in all partitions of n with largest multiplicity seven.at n=27A320377
- Number of (undirected) cycles in the graph C_4 X P_n.at n=4A339137