9851
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9852
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9850
- Möbius Function
- -1
- Radical
- 9851
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1215
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 2 iterations of function f(x) = 8x + 1.at n=25A023260
- 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 99.at n=4A031597
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=41A031818
- Primes which are sandwiched between two numbers having the same unordered canonical form.at n=28A074460
- Primes on axis of Ulam square spiral (with rows ... / 7 8 9 / 6 1 2 / 5 4 3 / ... ) with origin at (1).at n=42A078784
- Primes pertaining to A082617. a(n) = A082617(n+1)/A082617(n).at n=8A082618
- a(n) = Sum_{i=1..n} 2^(b(i) - 1), where b(n) is the differences between consecutive primes.at n=41A086769
- Smallest prime of the form 10^k - prime(n), or 0 if no such prime exists.at n=34A090289
- Denominator(Bernoulli(n-1) + 1/n)=66, where n runs through the primes.at n=41A090799
- Primes from merging of 4 successive digits in decimal expansion of (Pi^2).at n=17A104927
- Prime numbers p such that p+6, p^2+6^2, p^4+6^4 are all primes.at n=9A107441
- Prime numbers p such that p+6 and p^2+6^2 are both primes.at n=41A107442
- Number of partitions of n with more odd parts than even parts.at n=34A108950
- Minimal set of prime-strings in base 10 for primes of the form 4n+3 in the sense of A071062.at n=28A111056
- Array T(n,k) read by antidiagonals: the k-th column contains the first column of the k-th power of A039755.at n=33A111670
- Primes p such that there exist three primes q, r and s with p^3=q^3+r^3+s^3.at n=17A114923
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=21A119597
- Main diagonal of triangle A121400; also equals the partial sums of column 0 (A121399) of the same triangle.at n=10A121398
- Primes of the form n + partition number of n.at n=16A121558
- Primes p for which 8*p+1 divides 2^p-1.at n=37A122095