4271
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4272
- 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
- 4270
- Möbius Function
- -1
- Radical
- 4271
- 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
- yes
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 586
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 7 as smallest primitive root.at n=38A001126
- Related to self-avoiding walks on square lattice.at n=6A006816
- Coordination sequence T1 for Zeolite Code AFO.at n=43A008015
- a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1*0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2*1.at n=28A014112
- Squarefree n such that Q(sqrt(n)) has class number 5.at n=29A029705
- 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=5A031563
- Numbers with exactly five distinct base-8 digits.at n=11A031985
- Numbers whose set of base-11 digits is {2,3}.at n=25A032811
- Erroneous version of A000104.at n=10A036357
- Recursive prime generating sequence.at n=37A039726
- Numbers whose base-5 representation contains exactly three 1's and two 4's.at n=35A045261
- Primes p such that p+2 and 2p+1 are also prime.at n=35A045536
- Primes p such that x^61 = 2 has no solution mod p.at n=8A059230
- Primes p such that p^5 reversed is also prime.at n=28A059698
- Primes that are each the sum of two, three, and four consecutive composite numbers.at n=8A060339
- a(n) is the number of different degrees in the sequence of the degrees of the irreducible representations of the symmetric group S_n, i.e., count each degree only once.at n=32A060437
- Numbers k such that k^2 has property that the sum of its digits and the product of its digits are nonzero squares.at n=43A061268
- Positive numbers whose product of digits is four times their sum.at n=39A062036
- Primes whose product of digits equals the number of digits times the sum of digits.at n=13A064155
- Smallest prime such that the difference of successive terms is strictly increasing.at n=48A070865