7701
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10944
- Proper Divisor Sum (Aliquot Sum)
- 3243
- 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
- 4800
- Möbius Function
- -1
- Radical
- 7701
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- a(n) = (n+1)*(n^2 +8*n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times.at n=33A008778
- Odd octagonal numbers: (2n+1)*(6n+1).at n=25A014641
- Pseudoprimes to base 50.at n=39A020178
- Pseudoprimes to base 86.at n=36A020214
- Pseudoprimes to base 98.at n=42A020226
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=34A020401
- Quotients k*(k+1)*(k+2) / (k+(k+1)+(k+2)) that are lucky numbers.at n=13A032792
- a(n) = 4*n^2 - 9*n + 6.at n=44A054556
- Numbers n such that phi(3n+1) = sigma(n).at n=45A067233
- Numbers k such that sigma(k) = phi(k*bigomega(k)+1).at n=38A067876
- Numbers k such that sigma(k) = phi(k*omega(k)+1).at n=38A067879
- Smallest k such that n^8+k^8, n^4+k^4, n^2+k^2, n+k are simultaneously prime.at n=25A071564
- Number of partitions of n such that the set of even parts has only one element.at n=40A090867
- A (twin's digits) self-disappearing sequence.at n=39A108988
- a(1) = 1, a(n) = sum of n successive primes beginning with n if n is prime otherwise a(n) = sum of n successive composite numbers beginning with n.at n=46A110343
- Number of partitions of n in which each part, with the possible exception of the largest, occurs at least three times.at n=50A116932
- Octagonal numbers for which the product of the digits is also an octagonal number.at n=22A117083
- Odd interprimes divisible by 17.at n=26A124620
- a(n) = n-th prime * n-th nonprime.at n=35A127118
- 3-almost prime octagonal numbers.at n=11A129927