λ
Math Directory

4,593,842

2 × 11 × 17 × 71 × 173
Deficient Even Composite

4,593,842 factors as 2 × 11 × 17 × 71 × 173. Its 32 positive divisors give a proper-divisor sum of 3,524,302, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 71 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,118,144
Proper Divisor Sum 3,524,302
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4593769 ← → #4593847

Radix Representation

Decimal 4593842
Binary 10001100001100010110010 (23 bits)
Octal 0o21414262
Hexadecimal 0x4618B2

Divisor Catalog (32)

1 2 11 17 22 34 71 142 173 187 346 374 781 1,207 1,562 1,903 2,414 2,941 3,806 5,882 12,283 13,277 24,566 26,554 32,351 64,702 135,113 208,811 270,226 417,622 2,296,921 4,593,842

Collatz Trajectory (180 steps to reach 1)

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

4,593,842 2,296,921 6,890,764 3,445,382 1,722,691 5,168,074 2,584,037 7,752,112 3,876,056 1,938,028 969,014 484,507 1,453,522 726,761 2,180,284 1,090,142 545,071 1,635,214 817,607 2,452,822 1,226,411 3,679,234 1,839,617 5,518,852 2,759,426 1,379,713 4,139,140 2,069,570 1,034,785 3,104,356 1,552,178 776,089 2,328,268 1,164,134 582,067 1,746,202 873,101 2,619,304 1,309,652 654,826 327,413 982,240 491,120 245,560 122,780 61,390 30,695 92,086 46,043 138,130 69,065 207,196 103,598 51,799 155,398 77,699 233,098 116,549 349,648 174,824

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