7797
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10944
- Proper Divisor Sum (Aliquot Sum)
- 3147
- 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
- 4928
- Möbius Function
- -1
- Radical
- 7797
- 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
- 145
- 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 e.g.f. tan(arcsin(arctanh(x))) (odd powers only).at n=3A012136
- Expansion of e.g.f. exp(arctanh(arctanh(x))).at n=7A012263
- Number of partitions of n into parts not of the form 23k, 23k+2 or 23k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 10 are greater than 1.at n=37A035990
- Numerators of continued fraction convergents to sqrt(367).at n=7A041694
- Numerators of continued fraction convergents to sqrt(713).at n=6A042372
- Numbers having three 7's in base 10.at n=31A043519
- Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime.at n=45A069832
- Partial sum of pi(k) from k = 1 to 2^n.at n=7A072111
- Pair the odd numbers such that the k-th pair is (r, r+2k) where r is the smallest odd number not included earlier: (1, 3), (5, 9), (7, 13), (11, 19), (15, 25), (17, 29), (21, 35), (23, 39), (27, 45), ... This is the sequence of the product of the members of pairs.at n=21A075320
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=26A104809
- Numbers n such that googol - n is prime.at n=28A108251
- Q(n,6), where Q(m,k) is defined in A127080 and A127137.at n=29A127148
- Exactly 10 consecutive odd integers starting with n are composite.at n=40A162023
- Partial sums of floor(n^3/3).at n=17A173707
- Potential magic constants of 7 X 7 magic squares composed of consecutive primes.at n=20A188536
- Constant term in the reduction of the n-th Fibonacci polynomial by x^3->x^2+3x+1. See Comments.at n=12A192777
- Smallest m such that (sum of binary digits of m*(m+1)/2) = n.at n=21A211201
- Composite numbers and 1 which yield a prime whenever a 7 is inserted anywhere in them, including at the beginning or end.at n=29A216168
- Number of nX4 binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing.at n=7A266466
- T(n,k) = number of n X k binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing.at n=62A266470