762,080

2⁵ × 5 × 11 × 433

For 762,080, the 48 positive divisors have a total of 1,968,624. Removing 762,080 leaves 1,206,544, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,968,624

Proper Divisor Sum 1,206,544

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #762061 ← → #762101

Radix Representation

Decimal	762080
Binary	10111010000011100000 (20 bits)
Octal	0o2720340
Hexadecimal	0xBA0E0

Divisor Catalog (48)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 433 440 866 880 1,732 1,760 2,165 3,464 4,330 4,763 6,928 8,660 9,526 13,856 17,320 19,052 23,815 34,640 38,104 47,630 69,280 76,208 95,260 152,416 190,520 381,040 762,080

Collatz Trajectory (105 steps to reach 1)

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

762,080 381,040 190,520 95,260 47,630 23,815 71,446 35,723 107,170 53,585 160,756 80,378 40,189 120,568 60,284 30,142 15,071 45,214 22,607 67,822 33,911 101,734 50,867 152,602 76,301 228,904 114,452 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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