9,506,720

2⁵ × 5 × 59417

Starting at 9,506,720, the Collatz iteration reaches 1 after 75 steps. The first transition is 4753360; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 59417

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,460,004

Proper Divisor Sum 12,953,284

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9506681 ← → #9506747

Radix Representation

Decimal	9506720
Binary	100100010000111110100000 (24 bits)
Octal	0o44207640
Hexadecimal	0x910FA0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 59,417 118,834 237,668 297,085 475,336 594,170 950,672 1,188,340 1,901,344 2,376,680 4,753,360 9,506,720

Collatz Trajectory (75 steps to reach 1)

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

9,506,720 4,753,360 2,376,680 1,188,340 594,170 297,085 891,256 445,628 222,814 111,407 334,222 167,111 501,334 250,667 752,002 376,001 1,128,004 564,002 282,001 846,004 423,002 211,501 634,504 317,252 158,626 79,313 237,940 118,970 59,485 178,456 89,228 44,614 22,307 66,922 33,461 100,384 50,192 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

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