6753
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9008
- Proper Divisor Sum (Aliquot Sum)
- 2255
- 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
- 4500
- Möbius Function
- 1
- Radical
- 6753
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- Triangle of numbers of permutations eliminating just k cards out of n in game of Mousetrap.at n=51A028305
- 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 54.at n=29A031552
- Decimal concatenation of n-th lucky number and n-th prime number.at n=15A032604
- a(n) = 4^n + 7^n + 8^n.at n=4A074568
- Square root of coefficients of power series: A083352(x)^2 + A083352(x) - 1; term-by-term square root of A083353.at n=78A083354
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1100-1111-0001 pattern in any orientation.at n=13A146853
- 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, 0, 0), (-1, 0, 1), (0, -1, 0), (1, 1, -1), (1, 1, 1)}.at n=7A149779
- 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, 1, 1), (0, 1, -1), (0, 1, 0), (1, 0, 1)}.at n=7A150286
- a(n) = 6^n - 4^n + 1.at n=5A155627
- Row sums of triangle A156837.at n=65A156838
- Number of nondecreasing arrangements of n+2 numbers in 0..5 with each number being the sum mod 6 of two others.at n=10A183908
- Number of partitions of n whose median is a part.at n=31A238478
- Number of length n+5 0..2 arrays with some disjoint triples in each consecutive six terms having the same sum.at n=7A248062
- Smallest positive number whose residues modulo the first n primes are all different.at n=18A279073
- Smallest positive number whose residues modulo the first n primes are all different but whose residues modulo the first n+1 primes are not all different.at n=18A279074
- Numbers k such that k![12]-2 is prime, where k![12] is the twelve-fold multifactorial.at n=43A284132
- p-INVERT of (1,0,0,1,0,0,1,0,0,...), where p(S) = 1 - S - 2 S^2.at n=11A291035
- a(n) = 2*(a(n-1)+a(n-2)+a(n-3))-a(n-4) for n >= 4, with initial terms 0,0,1,1.at n=11A317974
- Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UH, HD and DU.at n=17A329698
- Number of compositions (ordered partitions) of n into distinct parts where no part is a multiple of 4.at n=30A332310