5857
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5858
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5856
- Möbius Function
- -1
- Radical
- 5857
- 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
- 142
- 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
- 770
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- arcsin(tan(tanh(x)))=x+1/3!*x^3+1/5!*x^5+169/7!*x^7+5857/9!*x^9...at n=4A012170
- Numbers k such that the continued fraction for sqrt(k) has period 77.at n=0A020416
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=42A023262
- Primes that remain prime through 3 iterations of function f(x) = 5x + 2.at n=12A023283
- Primes of the form k^2 + k + 5.at n=23A027755
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 16.at n=5A031604
- Primes whose consecutive digits differ by 2 or 3.at n=35A048414
- Partial sums of A048695.at n=8A048771
- Primes whose decimal expansion is a concatenation of two or more consecutive decreasing numbers (no leading zeros allowed).at n=6A052088
- Primes formed by concatenating k with k-1.at n=6A052089
- Coefficients of the '6th-order' mock theta function rho(q).at n=42A053270
- Coefficients of the '6th-order' mock theta function lambda(q).at n=42A053272
- Primes p such that x^61 = 2 has no solution mod p.at n=12A059230
- Numbers k such that 51^k - 50^k is prime.at n=5A062617
- Smallest number m such that the continued fraction expansion of sqrt(m) has period 2n + 1.at n=38A062769
- a(n) is the smallest prime m such that prod(m) = n*length(m)*sum(m) where prod(m) is the product of the digits of m, length(m) is the number of digits of m, sum(m) is the sum of the digits of m; or 0 if no such m exists.at n=13A064023
- a(n) = 2*prime(n)^2 - prime(n+1)^2.at n=22A064051
- Duplicate of A052089.at n=6A068699
- Right diagonal of triangle in A072467.at n=15A072469
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 8.at n=42A075588