7697
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7920
- Proper Divisor Sum (Aliquot Sum)
- 223
- 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
- 7476
- Möbius Function
- 1
- Radical
- 7697
- 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
- 52
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=41A020399
- Fibonacci sequence beginning 1, 12.at n=15A022102
- Convolution of Lucas numbers and (F(2), F(3), F(4), ...).at n=12A023619
- Least k>1 such that reverse of first n terms of A006928 repeats beginning at k-th term.at n=42A025509
- a(n) = T(2n-1,n), where T is the array in A026098.at n=40A026102
- Smallest m such that A051145(m) = 2^n.at n=20A051147
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=38A064905
- Product of twin-prime-indexed primes and their upper bound twin prime.at n=5A080699
- n^2-79*n+1601 as n runs through the lucky numbers.at n=26A087867
- Numbers n such that sigma(n) - phi(n) is a repdigit greater than 2.at n=34A116020
- Composite numbers generated by the Euler polynomial x^2 + x + 41.at n=10A145292
- Row sums of triangle A145370 (S1hat(-4)) and partition array A145359 (M31hat(-4)).at n=8A145371
- 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, 1, -1), (0, 0, 1), (1, 0, -1), (1, 1, -1)}.at n=9A148632
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=14A175534
- The non-common part of the larger number of an amicable pair.at n=15A180327
- Prime-generating polynomial: a(n) = 16*n^2 - 292*n + 1373.at n=31A181969
- Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x+2 and 4x-3 are in a.at n=47A191139
- G.f. A(x) satisfies: A'(x) = 1 + A(x*exp(x)).at n=6A193162
- Number of n X 4 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to 2.at n=13A197057
- a(n) = 9*n^2 + 39*n + 83.at n=27A210527