7277
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7680
- Proper Divisor Sum (Aliquot Sum)
- 403
- 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
- 6876
- Möbius Function
- 1
- Radical
- 7277
- 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
- 163
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=36A020399
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers), t = (odd natural numbers).at n=26A024590
- Numbers having three 7's in base 10.at n=9A043519
- 2-ranks of difference sets constructed from Glynn type II hyperovals.at n=12A049114
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20.at n=18A050969
- Numbers k such that (65*10^(k-1) + 43)/9 is a depression prime.at n=7A082711
- Number of compositions of n with either all parts odd or all parts even.at n=19A097896
- Near-repdigit semiprimes with 7 as repeated digit.at n=12A105988
- Expansion of (1-x+3*x^2+x^3) / ((1-x-x^2)*(1+2*x^2)).at n=19A116698
- Numbers k such that k and k^2 use only the digits 2, 4, 5, 7 and 9.at n=11A137098
- Number of conjugate-congruent partitions of n.at n=37A137438
- Total number of n-digit numbers requiring 5 positive biquadrates in their representation as sum of biquadrates.at n=4A186656
- Number of nonempty subsets of {1, 2, ..., n} with <= 4 pairwise coprime elements.at n=31A187265
- Numerator of Sum_{k=1..n}(-1)^k/phi(k), where phi = A000010.at n=37A211177
- G.f. = b(2)*b(4)*b(6)/(x^8-x^3-x+1), where b(k) = (1-x^k)/(1-x).at n=19A266338
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 838", based on the 5-celled von Neumann neighborhood.at n=32A273681
- Numbers with digits 2 and 7 only.at n=25A284921
- Expansion of Product_{k>=1} (1 + x^(5*k-4))^(5*k-4).at n=46A285338
- Consider Watanabe's 3-shift tag system {00/1011} applied to the word (100)^n; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded.at n=40A292094
- Numbers in which 7 outnumbers all other digits together.at n=37A292737