10859
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10860
- 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
- 10858
- Möbius Function
- -1
- Radical
- 10859
- 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
- 42
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1320
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of e.g.f. arctan(tanh(x) * exp(x)).at n=7A012660
- Number of proper factorizations of p1^n*p2^6, where p1 and p2 are distinct primes.at n=11A031129
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=34A054999
- Primes p such that x^61 = 2 has no solution mod p.at n=24A059230
- Primes p = prime(k) such that prime(k) + prime(k+5) = prime(k+1) + prime(k+4) = prime(k+2) + prime(k+3).at n=34A064101
- Primes which, although they have correct parity, are not in the prime number maze.at n=11A065123
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=16A067379
- Five-digit distinct-digit primes.at n=32A074671
- Numbers occurring more than once in A082534.at n=3A082546
- Smallest member of a pair of consecutive twin prime pairs that have two primes between them.at n=30A089634
- a(n) is the lesser term of the smallest twin prime pair such that if P=(a(n)^2+n)^2+n, then P and P+2 are also twin primes. a(n) is 0 if no such pair exists.at n=33A093245
- Lessers of twin prime pairs whose greater has a prime prime index.at n=38A094068
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=19A101783
- Primes p = prime(k) such that both p+2 and prime(k+5)-2 are prime numbers.at n=38A105412
- Primes p such that 5*p - 6 is square.at n=15A110482
- a(n) = T(p(n)) - p(T(n)) = Commutator[triangular numbers, primes] at n.at n=42A123907
- Lesser of twin simili-primes of order 2.at n=38A126699
- Primes of the form 35x^2+39y^2.at n=40A140026
- Primes congruent to 18 mod 37.at n=38A142127
- Primes congruent to 35 mod 41.at n=30A142232