10459
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
- 10460
- 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
- 10458
- Möbius Function
- -1
- Radical
- 10459
- 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
- 148
- 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
- 1280
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=44A024841
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 92 ones.at n=1A031860
- Lucky numbers with size of gaps equal to 16 (upper terms).at n=30A031899
- Discriminants of imaginary quadratic fields with class number 15 (negated).at n=38A046012
- Least prime in A023200 (lesser of 4-twins) such that the distance to the next 4-twin is 6*n.at n=22A052351
- Number of squares (of another matrix) in M_2(n) - the ring of 2 X 2 matrices over Z_n.at n=12A068197
- Trisection of A007294.at n=34A073472
- Five-digit distinct-digit primes.at n=13A074671
- a(n) = 8*n^2 + 88*n + 43.at n=31A086760
- p(k) such that 2*p(k)+3 and 2*p(k+1) + 3 are consecutive primes, where p(i) denotes the i-th prime.at n=41A089527
- Let p = prime(sigma(n)) and q = prime(phi(n)), then p is in the sequence if p-q = 6.at n=17A103176
- Primes p equal to the sum of two successive sexy primes - 1 such that p - 6 is also prime.at n=20A104047
- Largest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes.at n=23A106818
- Numbers k such that k and 8*k, taken together, are pandigital.at n=0A114126
- a(n) = number of solutions to the Diophantine equation x+y^2+z^3=n^4 with positive x,y,z.at n=16A121876
- Centered triangular numbers that are prime.at n=19A125602
- The upper twin prime whose lower member has a prime index.at n=30A129782
- Primes of the form 4x^2+4xy+211y^2.at n=37A139985
- Primes of the form 4x^2+4xy+331y^2.at n=40A140000
- Primes of the form 15x^2+91y^2.at n=37A140022