6757
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7020
- Proper Divisor Sum (Aliquot Sum)
- 263
- 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
- 6496
- Möbius Function
- 1
- Radical
- 6757
- 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
- 36
- 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 9.at n=36A010339
- First n elements of Thue-Morse sequence A010060 read as a binary number.at n=13A019300
- Number of length n necklaces with integer entries that cover an initial interval of positive integers.at n=6A019536
- Fibonacci sequence beginning 0, 29.at n=13A022363
- Discriminants of quintic fields with 4 complex conjugates.at n=38A023685
- Numbers with exactly five distinct base-9 digits.at n=3A031986
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=18A045108
- Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime.at n=37A069832
- Number of rooted dual-unicursal n-edge maps in the plane (planar with a distinguished outside face).at n=4A103945
- Number of strict opposition perfect graphs on n nodes.at n=7A123459
- a(n) = n*(8*n+1).at n=29A139275
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 5.at n=39A146330
- 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, -1), (-1, -1, 0), (-1, 1, -1), (1, -1, -1), (1, 1, 1)}.at n=8A149498
- Positive numbers y such that y^2 is of the form x^2+(x+233)^2 with integer x.at n=7A157297
- Let S be the sequence Fibonacci(2n), n>0 (cf. A001906); sequence lists the differences S(j)-S(i) for i<j.at n=42A169690
- a(n) = Sum_{k=1..n^2} d(k), d(k) = number of divisors of k (A000005).at n=30A175346
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=30A179140
- Semiprimes of form p*q with p < q, such that 2^p - 1 == 0 (mod q).at n=7A179768
- a(n) = Fibonacci(n+6) - Fibonacci(6).at n=14A180671
- Ordered differences of even-indexed Fibonacci numbers.at n=38A205448