7702
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11556
- Proper Divisor Sum (Aliquot Sum)
- 3854
- 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
- 3850
- Möbius Function
- 1
- Radical
- 7702
- 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
- 145
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 90.at n=12A020429
- Self-convolution of (1, p(1), p(2), ...).at n=19A023626
- 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 86.at n=21A031584
- Numbers n such that x^n + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=45A057484
- Numbers k such that 5*3^k + 2 is prime.at n=29A058590
- McKay-Thompson series of class 35A for Monster.at n=38A058640
- Final members of groups in A076105.at n=31A076102
- Sum of first n 6-almost primes.at n=20A086052
- Numbers formed by the second nesting of pi(10^n).at n=5A096359
- a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime.at n=30A101042
- A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime.at n=25A101043
- Semiprimes n such that 3*n - 2 is a square.at n=45A112393
- Semiprimes in A056105.at n=21A113519
- a(n) = 2*a(n-1) - a(n-2) + n + 1.at n=34A121968
- Connell (5,3)-sum sequence (partial sums of the (5,3)-Connell sequence).at n=58A122795
- Even numbers k such that if a person is born in year k and lives not more than 100 years, then he never celebrates his prime birthday on a prime year.at n=2A124658
- 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), (0, -1, 1), (1, 0, -1), (1, 1, 1)}.at n=8A149429
- 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, 0), (-1, 0, 1), (0, 1, -1), (0, 1, 1), (1, 0, 1)}.at n=7A150545
- Numbers x such that 0 < |x^5 - y^4| < x^(11/4) for some number y.at n=2A173357
- a(n+1) = a(n) + floor(a(n)/6) with a(0) = 6.at n=49A182307