37,405,559

17² × 347 × 373

37,405,559 factors as 17^2 × 347 × 373. Its 12 positive divisors give a proper-divisor sum of 2,551,105, so this integer is deficient. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 17^2 × 347 × 373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 39,956,664

Proper Divisor Sum 2,551,105

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #37405549 ← → #37405573

Radix Representation

Decimal	37405559
Binary	10001110101100001101110111 (26 bits)
Octal	0o216541567
Hexadecimal	0x23AC377

Divisor Catalog (12)

1 17 289 347 373 5,899 6,341 100,283 107,797 129,431 2,200,327 37,405,559

Collatz Trajectory (302 steps to reach 1)

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

37,405,559 112,216,678 56,108,339 168,325,018 84,162,509 252,487,528 126,243,764 63,121,882 31,560,941 94,682,824 47,341,412 23,670,706 11,835,353 35,506,060 17,753,030 8,876,515 26,629,546 13,314,773 39,944,320 19,972,160 9,986,080 4,993,040 2,496,520 1,248,260 624,130 312,065 936,196 468,098 234,049 702,148 351,074 175,537 526,612 263,306 131,653 394,960 197,480 98,740 49,370 24,685 74,056 37,028 18,514 9,257 27,772 13,886 6,943 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548

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