7726
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11592
- Proper Divisor Sum (Aliquot Sum)
- 3866
- 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
- 3862
- Möbius Function
- 1
- Radical
- 7726
- 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
- 145
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=30A007811
- 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 86.at n=23A031584
- Positive numbers having the same set of digits in base 7 and base 9.at n=35A037439
- Number of basis partitions of n+16 with Durfee square size 4.at n=41A053798
- Consecutive terms of A065966 which are also consecutive integers.at n=23A065976
- a(n) = smallest m >= 1 such that Sum_{k=1..m} log(k)/k >= n.at n=40A092753
- Number of partitions of n into Fibonacci number of integer parts.at n=40A102848
- Write the natural numbers as an infinite sequence of digits, starting at the left; a(n) is the subset (i.e., the position in this sequence of the "counting digits") of the first digit of the n-th square.at n=46A105314
- Triangle Q, read by rows, such that Q^2 transforms column k of Q^2 into column k+1 of Q^2, so that column k of Q^2 equals column 0 of Q^(2*k+2), where Q^2 denotes the matrix square of Q.at n=23A113350
- Column 2 of triangle A113350, also equals column 0 of A113340^6.at n=4A113352
- Triangle, read by rows, given by the product Q^-1*P^2, where the triangular matrices involved are P = A113340 and Q = A113350.at n=31A113368
- Integers i such that 16*i XOR 17*i = 33*i.at n=41A115833
- Least n such that nextprime(p*n) > p*nextprime(n) where p runs through the prime numbers (if p is prime then nextprime(p)=p).at n=18A117102
- Ceiling(n*exp(-sec(n))).at n=7A134910
- 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, 0, 1), (0, -1, 1), (0, 1, 1), (1, 1, -1)}.at n=8A149004
- Arises in combinatorial approach to the power of 2 in the number of involutions.at n=13A157253
- Numbers n such that 9n^2 is a zeroless pandigital number.at n=14A162859
- Numbers k such that 3^k + 3^4 + 1 is prime.at n=17A168170
- 0-sequence of reduction of hexagonal numbers sequence by x^2 -> x+1.at n=9A192143
- 0-sequence of reduction of (3n-1) by x^2 -> x+1.at n=12A192309