9,744,768

2⁷ × 3² × 11 × 769

9,744,768 factors as 2^7 × 3^2 × 11 × 769. Its 96 positive divisors give a proper-divisor sum of 20,885,832, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 11 × 769

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 30,630,600

Proper Divisor Sum 20,885,832

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9744767 ← → #9744773

Radix Representation

Decimal	9744768
Binary	100101001011000110000000 (24 bits)
Octal	0o45130600
Hexadecimal	0x94B180

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 769 792 1,056 1,152 1,408 1,538 1,584 2,112 2,307 3,076 3,168 4,224 4,614 6,152 6,336 6,921 8,459 9,228 12,304 12,672 13,842 16,918

Collatz Trajectory (62 steps to reach 1)

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

9,744,768 4,872,384 2,436,192 1,218,096 609,048 304,524 152,262 76,131 228,394 114,197 342,592 171,296 85,648 42,824 21,412 10,706 5,353 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8

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