6792
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17040
- Proper Divisor Sum (Aliquot Sum)
- 10248
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2256
- Möbius Function
- 0
- Radical
- 1698
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- High-temperature series in v = tanh(J/kT) for susceptibility for the Ising model on honeycomb structure.at n=13A002910
- Compositions: 6th column of A048004.at n=11A006980
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=48A017852
- Molien series for complete weight enumerator of self-dual code over GF(5).at n=32A028344
- Numbers with exactly five distinct base-9 digits.at n=23A031986
- Number of partitions of n with equal number of parts congruent to each of 3 and 4 (mod 5).at n=39A035561
- Numerators of continued fraction convergents to sqrt(610).at n=5A042170
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=23A045051
- Numbers k such that the digits of k joined to the digits of 2k contain each of the digits from 1 to 9 once.at n=1A064160
- Multiples of 24 whose digits also sum to 24.at n=20A066270
- Number of 3-dimensional polyominoes (or polycubes) with n cells and rotational symmetry group of order exactly 3.at n=20A066273
- Number of 6-ary Lyndon words of length n with trace 0 and subtrace 4 over Z_6.at n=7A074426
- Number of 6-ary Lyndon words of length n with trace 2 and subtrace 2 over Z_6.at n=7A074436
- Differences between two successive prime powers of prime numbers (A076707) in more than one way.at n=20A077257
- Differences between two successive powers of a prime but not a prime (A025475) in more than one way.at n=21A077274
- Integers that occur more than once as the difference of the squares of two consecutive primes.at n=26A078667
- Antidiagonal sums of table A083362.at n=23A083364
- Numbers that can be expressed as the difference of the squares of consecutive primes in just two distinct ways.at n=24A090784
- Number of different initial values for 3x+1 trajectories started with initial values not exceeding 2^n and in which the peak values are also not larger than 2^n.at n=14A095384
- a(n) = digit reversal of A103741(n).at n=26A103763