7707
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11776
- Proper Divisor Sum (Aliquot Sum)
- 4069
- 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
- 4392
- Möbius Function
- -1
- Radical
- 7707
- Omega Function (Ω)
- 3
- 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
- 70
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Expansion of Product_{m>=1} (1+x^m)^7.at n=8A022572
- a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A024975.at n=28A024980
- Number of partitions of n that do not contain 7 as a part.at n=33A027341
- 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 58.at n=26A031556
- Numbers having three 7's in base 10.at n=14A043519
- Numbers k such that 60*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=20A056658
- a(n) = n * prime(prime(n)).at n=20A080697
- Index of the primes in A084163.at n=11A084164
- Numbers n such that googol - n is prime.at n=27A108251
- Position of cubes in the EKG sequence (A064413).at n=19A140418
- Weight distribution of [63,30,13] primitive binary BCH code.at n=15A151769
- Composite numbers n such that 8*n^2-2*n-1 divides the primitive part U(n) of Fibonacci(n).at n=15A159234
- Numbers n such that n^6 + 272 is prime.at n=9A161998
- Number of nondecreasing strings of numbers x(i=1..n) in -3..3 with sum x(i)^3 equal to 0.at n=32A188271
- Numbers whose set of base 10 digits is {0,7}.at n=13A204094
- Conjectured number of digits in highest power of n with no four consecutive identical digits.at n=13A216142
- Number of ordered triples (i,j,k) with |i|,|j|,|k|,|i*j*k| <= n and gcd(i,j,k) <= 1.at n=28A226357
- Numbers k such that k*floor(2^k/k) + 1 is prime.at n=46A270427
- p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - S - S^2 - S^3 - S^4.at n=9A291399
- Numbers in which 7 outnumbers all other digits together.at n=42A292737