4211
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4212
- 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
- 4210
- Möbius Function
- -1
- Radical
- 4211
- 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
- 126
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 576
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=33A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=12A001135
- Read the terms of A004071 backwards.at n=3A004072
- Number of unsensed simple planar maps with n edges and without vertices of degree 1.at n=12A006401
- a(n) = prime(n^2).at n=23A011757
- Odd primes such that (3p+1)/2 and 3p+4 are also prime.at n=33A014223
- Coordination sequence T1 for Zeolite Code CZP.at n=42A019456
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=7A020413
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=12A023276
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=16A023298
- Primes that remain prime through 4 iterations of function f(x) = 2x + 9.at n=5A023306
- Numbers with exactly 6 2's in their ternary expansion.at n=18A023704
- 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 63.at n=20A031561
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=11A031804
- Primes of form x^2+83*y^2.at n=30A033253
- Positive numbers for which the sum of digits equals the product of digits.at n=27A034710
- Numbers whose square contains no loops in its digits (assumes 1, 2, 3, 5, 7 have no loops and 0, 4, 6, 8, 9 do).at n=46A034905
- Primes with first digit 4.at n=45A045710
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=14A046020
- Primes p such that p+6 and p+8 are also primes.at n=33A046138