10651
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
- 2
- Divisor Sum
- 10652
- 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
- 10650
- Möbius Function
- -1
- Radical
- 10651
- 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
- 99
- 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
- 1299
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Nonsquare values of m in the discriminant D = 4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k.at n=33A003421
- Next prime after n^3.at n=22A014220
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 90 ones.at n=1A031858
- Lucky numbers with size of gaps equal to 16 (upper terms).at n=32A031899
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=39A046012
- Nonnegative numbers of the form n^3 (+/-) 3, n >= 0.at n=43A052276
- Numbers k such that k^6 == 1 (mod 7^4).at n=25A056092
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=20A060261
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=9A078858
- a(n) = n^3 + 3.at n=22A084378
- Numbers p such that ((p-1)!*2^(p-1) + 1)/p is a prime.at n=4A091824
- Smallest prime p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2).at n=8A096636
- Smallest prime p == 3 mod 8 (A007520) and p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2).at n=8A096638
- Number of partitions of n such that the least part occurs exactly three times.at n=44A097091
- Primes of the form m^k+k, with m and k > 1.at n=15A099227
- Indices of prime Fibonacci 5-step numbers, A001591.at n=13A105756
- Primes of the form i*prime(i) + (i+1)*prime(i+1).at n=19A119487
- Prime numbers p such that p +- ((p-1)/5) are primes.at n=7A137714
- Primes of the form 4x^2+4xy+211y^2.at n=38A139985
- Primes congruent to 18 mod 31.at n=38A142022