15859
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15860
- 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
- 15858
- Möbius Function
- -1
- Radical
- 15859
- 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
- 146
- 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
- 1848
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Palindromic primes in base 8.at n=41A029976
- Recursive prime generating sequence.at n=51A039726
- Prime islands: for n >= 2, a(n) = least prime whose adjacent primes are exactly 2n apart; a(1) = 3 by convention.at n=26A046931
- Primes whose consecutive digits differ by 3 or 4.at n=34A048415
- The first of two consecutive primes with equal digital sums.at n=36A066540
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=25A067860
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=24A088291
- Primes arising as A093929(n)*A093929(n+1)+2.at n=33A093930
- Values of x in x^2 - 289 = 2*y^2.at n=12A106527
- Number of permutations of length n which avoid the patterns 2134, 3142, 3421.at n=9A116776
- Prime sums of 5 positive 5th powers.at n=35A123034
- Prime numbers, isolated from neighboring primes by >14.at n=21A137874
- Prime numbers, isolated from neighboring primes by >16.at n=10A137875
- Primes congruent to 20 mod 47.at n=40A142371
- Primes congruent to 12 mod 53.at n=39A142542
- Primes congruent to 47 mod 59.at n=33A142774
- Primes congruent to 60 mod 61.at n=28A142858
- Primes p, with index k, such that p-k and p+k are both prime.at n=26A143794
- Greater of two consecutive primes, p < q, such that both p*q+p-q and p*q-p+q are prime numbers.at n=23A154552
- Number of binary strings of length n with no substrings equal to 0001 0100 or 1010.at n=14A164465