766,972

2² × 17 × 11279

766,972 factors as 2^2 × 17 × 11279. Its 12 positive divisors give a proper-divisor sum of 654,308, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 11279

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,421,280

Proper Divisor Sum 654,308

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #766967 ← → #766999

Radix Representation

Decimal	766972
Binary	10111011001111111100 (20 bits)
Octal	0o2731774
Hexadecimal	0xBB3FC

Divisor Catalog (12)

1 2 4 17 34 68 11,279 22,558 45,116 191,743 383,486 766,972

Collatz Trajectory (100 steps to reach 1)

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

766,972 383,486 191,743 575,230 287,615 862,846 431,423 1,294,270 647,135 1,941,406 970,703 2,912,110 1,456,055 4,368,166 2,184,083 6,552,250 3,276,125 9,828,376 4,914,188 2,457,094 1,228,547 3,685,642 1,842,821 5,528,464 2,764,232 1,382,116 691,058 345,529 1,036,588 518,294 259,147 777,442 388,721 1,166,164 583,082 291,541 874,624 437,312 218,656 109,328 54,664 27,332 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812

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