4231
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4232
- 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
- 4230
- Möbius Function
- -1
- Radical
- 4231
- 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
- 38
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 580
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partially ordered sets ("posets") with n labeled elements (or labeled acyclic transitive digraphs).at n=5A001035
- Number of partitions of n into nonprime parts.at n=51A002095
- Number of primes <= n!.at n=8A003604
- Coordination sequence for alpha-Mn, Position Mn3.at n=17A009952
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=6A020407
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=24A024844
- Sums of six consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=24A027865
- Primes of the form n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=10A027867
- Number of prime labeled T_0 topologies on n points.at n=3A028854
- Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically.at n=30A030299
- 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=1A031563
- Lower prime of a difference of 10 between consecutive primes.at n=54A031928
- Number of partitions of n into parts not of the form 21k, 21k+5 or 21k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=30A035983
- Primes p such that both p-2 and 2p-1 are prime.at n=28A038869
- Numerators of continued fraction convergents to sqrt(235).at n=3A041438
- Numerators of continued fraction convergents to sqrt(940).at n=7A042818
- Primes whose consecutive digits differ by 1 or 2.at n=40A048413
- Primes followed by a [10,2,10] prime difference pattern of A001223.at n=6A052376
- a(n) = 2*n^2 - 1.at n=46A056220
- Primes of the form k^2+6.at n=8A056909