λ
Ratio Atlas

7,943,782

2 × 72 × 11 × 7369
Deficient Even Composite

7,943,782 factors as 2 × 7^2 × 11 × 7369. Its 24 positive divisors give a proper-divisor sum of 7,179,458, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 7369
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,123,240
Proper Divisor Sum 7,179,458
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7943773 ← → #7943783

Radix Representation

Decimal 7943782
Binary 11110010011011001100110 (23 bits)
Octal 0o36233146
Hexadecimal 0x793666

Divisor Catalog (24)

1 2 7 11 14 22 49 77 98 154 539 1,078 7,369 14,738 51,583 81,059 103,166 162,118 361,081 567,413 722,162 1,134,826 3,971,891 7,943,782

Collatz Trajectory (217 steps to reach 1)

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

7,943,782 3,971,891 11,915,674 5,957,837 17,873,512 8,936,756 4,468,378 2,234,189 6,702,568 3,351,284 1,675,642 837,821 2,513,464 1,256,732 628,366 314,183 942,550 471,275 1,413,826 706,913 2,120,740 1,060,370 530,185 1,590,556 795,278 397,639 1,192,918 596,459 1,789,378 894,689 2,684,068 1,342,034 671,017 2,013,052 1,006,526 503,263 1,509,790 754,895 2,264,686 1,132,343 3,397,030 1,698,515 5,095,546 2,547,773 7,643,320 3,821,660 1,910,830 955,415 2,866,246 1,433,123 4,299,370 2,149,685 6,449,056 3,224,528 1,612,264 806,132 403,066 201,533 604,600 302,300

More profiles

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