9,924,520

2³ × 5 × 47 × 5279

Starting at 9,924,520, the Collatz iteration reaches 1 after 163 steps. The first transition is 4962260; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 47 × 5279

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,809,600

Proper Divisor Sum 12,885,080

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9924511 ← → #9924521

Radix Representation

Decimal	9924520
Binary	100101110110111110101000 (24 bits)
Octal	0o45667650
Hexadecimal	0x976FA8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1,880 5,279 10,558 21,116 26,395 42,232 52,790 105,580 211,160 248,113 496,226 992,452 1,240,565 1,984,904 2,481,130 4,962,260 9,924,520

Collatz Trajectory (163 steps to reach 1)

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

9,924,520 4,962,260 2,481,130 1,240,565 3,721,696 1,860,848 930,424 465,212 232,606 116,303 348,910 174,455 523,366 261,683 785,050 392,525 1,177,576 588,788 294,394 147,197 441,592 220,796 110,398 55,199 165,598 82,799 248,398 124,199 372,598 186,299 558,898 279,449 838,348 419,174 209,587 628,762 314,381 943,144 471,572 235,786 117,893 353,680 176,840 88,420 44,210 22,105 66,316 33,158 16,579 49,738 24,869 74,608 37,304 18,652 9,326 4,663 13,990 6,995 20,986 10,493

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