36,938,756

2² × 17 × 543217

36,938,756 factors as 2^2 × 17 × 543217. Its 12 positive divisors give a proper-divisor sum of 31,506,712, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 543217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 68,445,468

Proper Divisor Sum 31,506,712

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #36938753 ← → #36938761

Radix Representation

Decimal	36938756
Binary	10001100111010010000000100 (26 bits)
Octal	0o214722004
Hexadecimal	0x233A404

Divisor Catalog (12)

1 2 4 17 34 68 543,217 1,086,434 2,172,868 9,234,689 18,469,378 36,938,756

Collatz Trajectory (134 steps to reach 1)

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

36,938,756 18,469,378 9,234,689 27,704,068 13,852,034 6,926,017 20,778,052 10,389,026 5,194,513 15,583,540 7,791,770 3,895,885 11,687,656 5,843,828 2,921,914 1,460,957 4,382,872 2,191,436 1,095,718 547,859 1,643,578 821,789 2,465,368 1,232,684 616,342 308,171 924,514 462,257 1,386,772 693,386 346,693 1,040,080 520,040 260,020 130,010 65,005 195,016 97,508 48,754 24,377 73,132 36,566 18,283 54,850 27,425 82,276 41,138 20,569 61,708 30,854 15,427 46,282 23,141 69,424 34,712 17,356 8,678 4,339 13,018 6,509

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