7671
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10232
- Proper Divisor Sum (Aliquot Sum)
- 2561
- 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
- 5112
- Möbius Function
- 1
- Radical
- 7671
- 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
- 132
- 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
- Number of partitions of n, with two kinds of 1, 2, 3 and 4.at n=18A000710
- Expansion of 1/((1-2x)(1-3x)(1-10x)(1-12x)).at n=3A025956
- a(n) = T(n,n) + T(n,n+1) + ... + T(n,2n), T given by A027960.at n=11A027973
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 58.at n=25A031556
- Numbers k such that 81*2^k+1 is prime.at n=49A032390
- Number of days in n years (n=1 is the first leap year).at n=20A033174
- Positive numbers having the same set of digits in base 8 and base 10.at n=34A037442
- Sums of 11 distinct powers of 2.at n=38A038462
- Denominators of continued fraction convergents to sqrt(111).at n=9A041201
- Numbers whose base-4 representation contains exactly three 1's and four 3's.at n=7A045128
- A Diaconis-Mosteller approximation to the Birthday problem function.at n=35A050255
- Moebius transform of A000031 (starting at term 0).at n=17A054079
- Number of primes <= 5^n.at n=7A055730
- Smallest palindrome greater than n in bases 2 and n.at n=39A056749
- Integers n > 879 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 879.at n=39A063052
- C(n+3)=2*C(n), where C(n) is Cototient(n) := n - phi(n) (A051953).at n=42A063480
- Number of (3412,1234)-avoiding involutions in S_n.at n=24A085583
- a(1)=4, then least semiprime > a(n-1) such that when all in the sequence are concatenated together they form a prime.at n=26A085703
- Number of triples (i,j,k) with 1 <= i <= j < k <= n and gcd{i,j,k} = 1.at n=37A100448
- a(n) = (p-1)! mod p^2 where p = n-th prime.at n=32A112660