7077
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
- 10816
- Proper Divisor Sum (Aliquot Sum)
- 3739
- 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
- 4032
- Möbius Function
- -1
- Radical
- 7077
- 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
- 57
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=37A003378
- Numbers that are the sum of 7 nonzero 8th powers.at n=10A003385
- Divisors of 2^42 - 1.at n=29A003547
- Number of rooted planar maps with 3 vertices and n faces and no isthmuses.at n=4A006420
- Numbers k such that k divides 4^k - 1.at n=36A014945
- Least term in period of continued fraction for sqrt(n) is 8.at n=22A031432
- Lucky numbers that are decimal concatenations of n with n + 7.at n=7A032657
- Numbers k such that s(k) + s(k+1) + ... + s(k+7) = t(k) + t(k+1) + ... + t(k+7).at n=9A033914
- Numbers having three 7's in base 10.at n=7A043519
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n.at n=34A057263
- Numbers k such that 2*3^k + 5 is prime.at n=23A057911
- a(n) = A000094(n+4) - A006918(n).at n=28A084835
- Numbers k such that the k-th prime is of the form 2*j^2 + 1.at n=29A090612
- a(n) = tan(Pi/14)^(-2n) + tan(3*Pi/14)^(-2n) + tan(5*Pi/14)^(-2n).at n=3A108716
- a(n) = 8*n^2 - 4*n - 3.at n=29A118057
- Numbers k such that k^2 divides 4^k-1.at n=5A127104
- Numbers of the form m = p1 * p2 * p3 where for each d|m we have (d+m/d)/2 prime and p1 < p2 < p3 each prime.at n=34A128284
- Numbers k such that k^2 divides 16^k-1.at n=42A128396
- Numbers k such that k^3 divides 4^(k^2) - 1.at n=10A129212
- 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, 1), (0, 1, 0), (1, 0, 0)}.at n=8A149913