7734
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15480
- Proper Divisor Sum (Aliquot Sum)
- 7746
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2576
- Möbius Function
- -1
- Radical
- 7734
- 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
- 83
- 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
- a(n) = (n + 3)*(n^2 + 6*n + 2)/6.at n=33A005286
- a(n) = (2n-1)!! * Sum_{k=0..n-1}(-1)^k/(2k+1).at n=6A024199
- 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=24A031584
- Numbers which are the sum of their proper divisors containing the digit 8.at n=4A059467
- Numbers k such that k^2 + prime(k) and k^2 - prime(k) are both primes.at n=40A064483
- Integers m such that A064992(m) = A064992(m+1).at n=11A065002
- a(n) = (11*n^2 - 11*n + 2)/2.at n=37A069125
- Indices of primes in sequence defined by A(0) = 47, A(n) = 10*A(n-1) - 13 for n > 0.at n=19A101727
- Numbers n such that n/6 and prime(n)+/-n are all primes.at n=15A105550
- G.f. satisfies x = A(x)*(1-A(x))/(1-A(x)-(A(x))^2).at n=17A108623
- Numbers n such that p(3n) is prime, where p(n) is the number of partitions of n.at n=41A111389
- Partial sums of A003325.at n=30A139211
- 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), (-1, 0, -1), (0, 1, 1), (1, 0, 0)}.at n=8A149851
- Number of reduced words of length n in the Weyl group A_35.at n=3A161648
- The ED4 array read by antidiagonals.at n=15A167584
- A triangle related to the GF(z) formulas of the rows of the ED4 array A167584.at n=20A167594
- Number of nondecreasing arrangements of n numbers in -4..4 with sum zero and sum of squares less than n*20/3.at n=14A183930
- Number of 0..n arrays x(0..8) of 9 elements with zero 5th differences.at n=24A200332
- Smallest k such that q=2*k*prime(n)^4+b , r=2*k*q^4+c , s=2*k*r^4+d and q, r and s are all prime numbers with b, c and d = -1 or 1.at n=39A225056
- Number of non-equivalent ways to choose three points in an equilateral triangle grid of side n.at n=10A230723