2357
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2358
- 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
- 2356
- Möbius Function
- -1
- Radical
- 2357
- 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
- 120
- 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
- 350
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = ceiling(n*phi^9), where phi is the golden ratio, A001622.at n=31A004964
- Coordination sequence T2 for Zeolite Code AFO.at n=32A008016
- Coordination sequence T3 for Zeolite Code NES.at n=31A008207
- Coordination sequence T1 for Zeolite Code STI.at n=33A008234
- Expansion of log(1+tan(x))*cos(x).at n=7A009369
- Coordination sequence T2 for Zeolite Code -WEN.at n=35A009863
- a(n) is prime and sum of all primes <= a(n) is prime.at n=37A013917
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17).at n=46A017866
- Smarandache-Wellin numbers: a(n) is the concatenation of first n primes (written in base 10).at n=3A019518
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=26A019546
- Numbers k such that the continued fraction for sqrt(k) has period 11.at n=24A020350
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=7A022464
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=27A022893
- Primes that remain prime through 2 iterations of function f(x) = 6x + 1.at n=27A023256
- Primes that remain prime through 2 iterations of function f(x) = 9x + 8.at n=34A023267
- a(n) = n^2 + n + 5.at n=48A027690
- Primes of the form k^2 + k + 5.at n=17A027755
- Expansion of Product_{k >= 1} 1/(1-x^k)^c(k), where c(1), c(2), ... = 2 3 2 3 2 3 2 3 ....at n=12A029863
- Primes which are concatenations of 4 consecutive primes.at n=0A030473
- Smallest prime which is a concatenation of n consecutive primes.at n=3A030997