7,437,793

11 × 563 × 1201

7,437,793 is odd and not a perfect square. Its factorization is 11 × 563 × 1201 and its 8 divisors sum to 8,135,136.

Prime Factor Structure

Factorization String 11 × 563 × 1201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,135,136

Proper Divisor Sum 697,343

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7437779 ← → #7437803

Radix Representation

Decimal	7437793
Binary	11100010111110111100001 (23 bits)
Octal	0o34276741
Hexadecimal	0x717DE1

Divisor Catalog (8)

1 11 563 1,201 6,193 13,211 676,163 7,437,793

Collatz Trajectory (142 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,437,793 22,313,380 11,156,690 5,578,345 16,735,036 8,367,518 4,183,759 12,551,278 6,275,639 18,826,918 9,413,459 28,240,378 14,120,189 42,360,568 21,180,284 10,590,142 5,295,071 15,885,214 7,942,607 23,827,822 11,913,911 35,741,734 17,870,867 53,612,602 26,806,301 80,418,904 40,209,452 20,104,726 10,052,363 30,157,090 15,078,545 45,235,636 22,617,818 11,308,909 33,926,728 16,963,364 8,481,682 4,240,841 12,722,524 6,361,262 3,180,631 9,541,894 4,770,947 14,312,842 7,156,421 21,469,264 10,734,632 5,367,316 2,683,658 1,341,829 4,025,488 2,012,744 1,006,372 503,186 251,593 754,780 377,390 188,695 566,086 283,043

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