9,959,200

2⁵ × 5² × 59 × 211

Starting at 9,959,200, the Collatz iteration reaches 1 after 57 steps. The first transition is 4979600; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 59 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 24,842,160

Proper Divisor Sum 14,882,960

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9959167 ← → #9959219

Radix Representation

Decimal	9959200
Binary	100101111111011100100000 (24 bits)
Octal	0o45773440
Hexadecimal	0x97F720

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 211 236 295 400 422 472 590 800 844 944 1,055 1,180 1,475 1,688 1,888 2,110 2,360 2,950 3,376 4,220 4,720 5,275 5,900 6,752 8,440 9,440 10,550 11,800 12,449 16,880 21,100 23,600 24,898 33,760 42,200 47,200 49,796 62,245 84,400 99,592 124,490 168,800

Collatz Trajectory (57 steps to reach 1)

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

9,959,200 4,979,600 2,489,800 1,244,900 622,450 311,225 933,676 466,838 233,419 700,258 350,129 1,050,388 525,194 262,597 787,792 393,896 196,948 98,474 49,237 147,712 73,856 36,928 18,464 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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