4327
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4328
- 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
- 4326
- Möbius Function
- -1
- Radical
- 4327
- 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
- 170
- 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
- 591
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that there is a gap of 2n between p and previous prime.at n=14A001632
- From table of maximal epacts e(p) and corresponding primes p, for x_1=2, x_{m+1} = (x_m)^2+1; sequence gives p.at n=21A014424
- Powers of fourth root of 21 rounded up.at n=11A018107
- Numbers k such that the continued fraction for sqrt(k) has period 96.at n=4A020435
- a(n) = [ C(2n,n)/2^(n+3) ].at n=18A024506
- Coordination sequence T2 for Zeolite Code ITE.at n=45A027370
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 65.at n=10A031563
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=6A031814
- Lower prime of a difference of 10 between consecutive primes.at n=58A031928
- Numbers with exactly five distinct base-8 digits.at n=27A031985
- Primes of form x^2 + 94*y^2.at n=32A033204
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n.at n=31A034075
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=15A046016
- F-primes.at n=39A046872
- Primes followed by a [10,2,10] prime difference pattern of A001223.at n=8A052376
- Sum of a(n) terms of 1/k^(3/4) first exceeds n.at n=29A056179
- Primes p such that 1 + x + Sum_{q prime <= p} x^q is irreducible over GF(2).at n=7A056679
- Triangle T(n,k) giving number of 4 X k polyominoes with n cells (n >= 4, 1<=k<=n-3).at n=53A059684
- Numbers that in base 2 need twelve 'Reverse and Add' steps to reach a palindrome.at n=34A066133
- Primes p such that there exists k such that p = prime(k) + prime(k+2) + prime(k+4) + prime(k+6) + prime(k+8).at n=38A068364