749,705

5 × 11 × 43 × 317

749,705 factors as 5 × 11 × 43 × 317. Its 16 positive divisors give a proper-divisor sum of 257,719, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 5 × 11 × 43 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,007,424

Proper Divisor Sum 257,719

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #749701 ← → #749711

Radix Representation

Decimal	749705
Binary	10110111000010001001 (20 bits)
Octal	0o2670211
Hexadecimal	0xB7089

Divisor Catalog (16)

1 5 11 43 55 215 317 473 1,585 2,365 3,487 13,631 17,435 68,155 149,941 749,705

Collatz Trajectory (255 steps to reach 1)

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

749,705 2,249,116 1,124,558 562,279 1,686,838 843,419 2,530,258 1,265,129 3,795,388 1,897,694 948,847 2,846,542 1,423,271 4,269,814 2,134,907 6,404,722 3,202,361 9,607,084 4,803,542 2,401,771 7,205,314 3,602,657 10,807,972 5,403,986 2,701,993 8,105,980 4,052,990 2,026,495 6,079,486 3,039,743 9,119,230 4,559,615 13,678,846 6,839,423 20,518,270 10,259,135 30,777,406 15,388,703 46,166,110 23,083,055 69,249,166 34,624,583 103,873,750 51,936,875 155,810,626 77,905,313 233,715,940 116,857,970 58,428,985 175,286,956 87,643,478 43,821,739 131,465,218 65,732,609 197,197,828 98,598,914 49,299,457 147,898,372 73,949,186 36,974,593

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