6023
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6360
- Proper Divisor Sum (Aliquot Sum)
- 337
- 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
- 5688
- Möbius Function
- 1
- Radical
- 6023
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions in parts not of the form 25k, 25k+1 or 25k-1. Also number of partitions with no part of size 1 and differences between parts at distance 11 are greater than 1.at n=39A036000
- a(n) = 1 + 2 * least i such that A103507(i)=n+1, 0 if no such i exists.at n=18A103508
- Start with 1 and repeatedly reverse the digits and add 47 to get the next term.at n=23A118145
- Numbers n such that n^3 is zeroless pandigital.at n=23A124628
- Numbers ending in 1, 3, 7 or 9 such that either prepending or following them by one digit doesn't produce a prime.at n=32A124666
- Number of n X n arrays of squares of integers summing to 4 with every element equal to at least one neighbor.at n=6A146089
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1000-1000-1111-1000 pattern in any orientation.at n=14A147129
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, -1), (1, -1, 0), (1, 1, 0)}.at n=8A149175
- A triangle sequence related to the Eulerian numbers of the second kind: t(n,m) = Sum_{i=0..m}(-1)^(m-i)*binomial(n-i-1, m-i)*Stirling2(n+i+1, i+1).at n=18A156363
- Magnetic Tower of Hanoi, total number of moves, optimally solving the [NEUTRAL ; NEUTRAL ; NEUTRAL] pre-colored puzzle.at n=9A183118
- Smallest k>=0 such that (2^n-k)*2^n-1 and (2^n-k)*2^n+1 are a twin prime pair; or -1 if no such k exists.at n=48A205322
- Smallest k such that the number of composites of the form a^2 + 1 between two successive primes of this form equals 2n-1.at n=40A208132
- Numbers not multiples of 9 whose digital sum coincides with digital sum of their largest proper divisor.at n=28A219340
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,2,1.at n=18A222122
- a(1) = 2, and for n>1: a(n) = prime(A251719(n)) * prime(A251719(n) + n - 2), where prime(n) gives the n-th prime.at n=59A251724
- Number of 5Xn arrays containing n copies of 0..5-1 with every element equal to or 1 greater than any north, northeast or northwest neighbors modulo 5 and the upper left element equal to 0.at n=11A267266
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 237", based on the 5-celled von Neumann neighborhood.at n=42A270983
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=14A293765
- The number of vertices inside a cross with width 3 and height n (see Comments in A331455 for definition) formed by the straight line segments mutually connecting all vertices and all points.at n=12A330850
- Record numbers of factorizations into distinct factors > 1.at n=48A331232