10729
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10730
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10728
- Möbius Function
- -1
- Radical
- 10729
- 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
- 47
- 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
- 1308
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=32A031420
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 66 ones.at n=9A031834
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 4).at n=44A035548
- Primes resulting from procedure described in A048393.at n=11A048394
- Numbers k such that k^2 contains only digits {1,4,5}.at n=5A053896
- First term of weak prime quintets: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3).at n=24A054823
- Primes p such that p and p^2 have same digit sum.at n=19A058370
- Primes which can be expressed as concatenation of cubes.at n=25A066592
- Five-digit distinct-digit primes.at n=25A074671
- Final terms of rows of A077321.at n=35A077323
- Primes in A058633.at n=38A080822
- Primes of the form 6*p - 5 such that p and 6*p - 1 are primes.at n=40A090607
- Irregular primes whose indices are irregular primes of order one.at n=28A090869
- Values of k such that floor(k*tanh(Pi)) = floor((k+1) tanh(Pi)).at n=39A096613
- Primes of the form a^4 + b^3 with b>0.at n=24A100271
- Number of different cuboids with volume (pq)^n, where p,q are distinct prime numbers.at n=21A101427
- a(2*n+1) = 9*a(n), a(2*n+2) = 10*a(n) + a(n-1).at n=22A116555
- Primes of the form 9*k^4 - 204*k^3 + 1777*k^2 - 7038*k + 10729, for k >= 0, listed by increasing k.at n=0A117090
- Primes of the form k(k+1)/2-2 (i.e., two less than triangular numbers).at n=42A124199
- a(n) is the greatest prime factor of A072446(n).at n=5A129907