2,586,226

2 × 37 × 34949

2,586,226 factors as 2 × 37 × 34949. Its 8 positive divisors give a proper-divisor sum of 1,398,074, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2 × 37 × 34949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,984,300

Proper Divisor Sum 1,398,074

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2586209 ← → #2586253

Radix Representation

Decimal	2586226
Binary	1001110111011001110010 (22 bits)
Octal	0o11673162
Hexadecimal	0x277672

Divisor Catalog (8)

1 2 37 74 34,949 69,898 1,293,113 2,586,226

Collatz Trajectory (218 steps to reach 1)

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

2,586,226 1,293,113 3,879,340 1,939,670 969,835 2,909,506 1,454,753 4,364,260 2,182,130 1,091,065 3,273,196 1,636,598 818,299 2,454,898 1,227,449 3,682,348 1,841,174 920,587 2,761,762 1,380,881 4,142,644 2,071,322 1,035,661 3,106,984 1,553,492 776,746 388,373 1,165,120 582,560 291,280 145,640 72,820 36,410 18,205 54,616 27,308 13,654 6,827 20,482 10,241 30,724 15,362 7,681 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414

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