7730
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13932
- Proper Divisor Sum (Aliquot Sum)
- 6202
- 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
- 3088
- Möbius Function
- -1
- Radical
- 7730
- 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
- Dodecahedral surface numbers: a(0)=0, a(1)=1, a(2)=20, thereafter 2*((3*n-7)^2 + 21).at n=23A007589
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=39A020352
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=34A045940
- Numbers m such that the factorizations of m..m+4 have the same number of primes (including multiplicities).at n=8A045941
- Row sums of triangle A096811, in which A096811(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-2).at n=31A096814
- a(0) = 1, a(1) = 2, a(2) = 5; for n >= 3, a(n) = a(n - 1) - 2*a(n - 2) + a(n - 3).at n=29A121311
- Arises in the normal ordering of functions of a*(a+)*a, where a and a+ are the boson annihilation and creation operators, respectively.at n=4A123525
- Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3 primes.at n=32A124057
- List of different composites in Pascal-like triangles with index of asymmetry y = 2 and index of obliquity z = 0 or z = 1.at n=30A141066
- G.f.: exp( Sum_{n>=1} 2^A090740(n) * x^n/n ) where A090740(n) = highest exponent of 2 in 3^n-1.at n=21A182000
- Partial sums of A193911.at n=15A193912
- G.f. satisfies: A(x) = 1 + Sum_{n>=1} x^n*A_{n-1}(x)^n where A_{n}(x) = A_{n-1}(x) + x^n*A_{n-1}(x)^n for n>0 with A_0(x)=1.at n=12A194563
- a(n) = 13*n^2 - 16*n + 5.at n=25A202141
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 3.at n=31A210375
- a(3)=5, a(4)=8, a(5)=12; thereafter a(n) = a(n-1) + A000931(n+7).at n=23A220885
- Related to Pisano periods: numbers n such that there are n+10 distinct Fibonacci numbers mod n.at n=23A229467
- Number of partitions p of n such that 2*min(p) is a part of p.at n=33A238589
- Start of a triple of consecutive squarefree numbers each of which has exactly 3 distinct prime factors.at n=46A242606
- Number of length n 0..7 arrays with each partial sum starting from the beginning no more than one standard deviation from its mean.at n=4A244787
- T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than one standard deviation from its mean.at n=59A244788