761,409

3² × 11 × 7691

761,409 factors as 3^2 × 11 × 7691. Its 12 positive divisors give a proper-divisor sum of 438,543, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 7691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,199,952

Proper Divisor Sum 438,543

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #761407 ← → #761417

Radix Representation

Decimal	761409
Binary	10111001111001000001 (20 bits)
Octal	0o2717101
Hexadecimal	0xB9E41

Divisor Catalog (12)

1 3 9 11 33 99 7,691 23,073 69,219 84,601 253,803 761,409

Collatz Trajectory (79 steps to reach 1)

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

761,409 2,284,228 1,142,114 571,057 1,713,172 856,586 428,293 1,284,880 642,440 321,220 160,610 80,305 240,916 120,458 60,229 180,688 90,344 45,172 22,586 11,293 33,880 16,940 8,470 4,235 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840

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