761,940

2² × 3³ × 5 × 17 × 83

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 17 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,540,160

Proper Divisor Sum 1,778,220

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #761939 ← → #761963

Radix Representation

Decimal	761940
Binary	10111010000001010100 (20 bits)
Octal	0o2720124
Hexadecimal	0xBA054

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 83 85 90 102 108 135 153 166 170 180 204 249 255 270 306 332 340 415 459 498 510 540 612 747 765 830 918 996 1,020 1,245 1,411 1,494 1,530 1,660 1,836 2,241 2,295 2,490

Collatz Trajectory (105 steps to reach 1)

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

761,940 380,970 190,485 571,456 285,728 142,864 71,432 35,716 17,858 8,929 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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