7798
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 5594
- 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
- 3336
- Möbius Function
- -1
- Radical
- 7798
- 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
- yes
- Odd
- no
Appears in sequences
- Number of 5-dimensional centered tetrahedral numbers.at n=10A008499
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).at n=41A024306
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor(n/2).at n=41A024868
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor( n/2 ), s = natural numbers >= 2, t = natural numbers >= 3.at n=40A024869
- Theta series of 6-dimensional 8-modular lattice of minimal norm 4.at n=36A029713
- a(n) = Sum_{i=0..n} C(2n+i,n+i).at n=5A108079
- Number of partitions of n into parts with at most one 1 and at most one 2.at n=41A121081
- Numbers k for which 16*k+1, 16*k+3 and 16*k+15 are primes.at n=33A123997
- Numbers k such that 30*k and 60*k are both the average of twin prime pairs.at n=43A177679
- Imbalance of the sum of parts of all partitions of n.at n=26A194797
- Number of bits set to 1 in the binary representation of the n-th term of the Lucas-Lehmer sequence (A003010).at n=13A227616
- Total number of parts in all overcompositions of n.at n=9A236625
- a(n) = Sum_{k=0..5} binomial(10,k)*binomial(n,k).at n=6A247610
- a(n) = number of triples (a,b,c) of natural numbers a,b,c <= n with gcd(a,b)=gcd(b,c)=gcd(c,a)=1.at n=29A256390
- Numbers whose smallest decimal digit is 7.at n=32A284068
- Number of permutations of 3 indistinguishable copies of 1,...,n such that there are exactly j numbers between the first and the third copy of j and floor(j/2) numbers between the first and the second or between the second and the third copy of j.at n=11A320392
- Numbers n such that N = n^3 is a twin rank (A002822: 6N +- 1 are twin primes).at n=30A326234
- a(n) is the smallest number that is the sum of n positive 5th powers in three ways.at n=18A343083
- Numbers k that have the same set of digits in base 10 as primepi(k).at n=30A355418
- Number of regions in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts.at n=51A356984