9,744,480

2⁵ × 3² × 5 × 67 × 101

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 67 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 34,083,504

Proper Divisor Sum 24,339,024

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9744461 ← → #9744481

Radix Representation

Decimal	9744480
Binary	100101001011000001100000 (24 bits)
Octal	0o45130140
Hexadecimal	0x94B060

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 67 72 80 90 96 101 120 134 144 160 180 201 202 240 268 288 303 335 360 402 404 480 505 536 603 606 670 720 804 808 909 1,005 1,010 1,072 1,206 1,212 1,340 1,440

Collatz Trajectory (62 steps to reach 1)

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

9,744,480 4,872,240 2,436,120 1,218,060 609,030 304,515 913,546 456,773 1,370,320 685,160 342,580 171,290 85,645 256,936 128,468 64,234 32,117 96,352 48,176 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 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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