4768
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9450
- Proper Divisor Sum (Aliquot Sum)
- 4682
- 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
- 2368
- Möbius Function
- 0
- Radical
- 298
- Omega Function (Ω)
- 6
- 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
- 28
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=40A020383
- Numbers having period-6 5-digitized sequences.at n=31A031190
- 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 33.at n=24A031531
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+1 or 16k-1.at n=58A036020
- Increasing gaps among twin primes: size.at n=31A036063
- Numerators of continued fraction convergents to sqrt(276).at n=10A041518
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=19A045055
- a(n) = A045820(n)/2.at n=10A045822
- Number of "prime quadruplets" with largest member < 10^n.at n=7A050258
- Difference between A007678(2n)/(2n) and (n-1)^2.at n=26A085611
- Expansion of (1+t^3)^2/((1-t)*(1-t^2)^2*(1-t^4)).at n=47A106607
- Numbers k such that 3^k - phi(k) is prime.at n=15A109889
- Number of parts that are multiples of 3 in all partitions of n.at n=27A116635
- 3*Volume of the root-n Waterman polyhedron of void-center type as defined in A119870.at n=28A119878
- Numbers k such that A003422(k+1)/2 is prime.at n=16A124375
- Number of 1-2-3 trees with n edges and with thinning limbs.at n=11A124497
- Alternating row sums of triangle A134832.at n=9A134833
- Values of n such that (sigma(sigma(n))-phi(phi(n)))/n is an integer (the corresponding integral ratios are given in A136132).at n=18A136131
- Number of digits in the n-th Woodall prime.at n=19A137811
- 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), (-1, 0, 0), (1, -1, 0), (1, 1, 0)}.at n=8A149123