2,607,200

2⁵ × 5² × 3259

Starting at 2,607,200, the Collatz iteration reaches 1 after 42 steps. The first transition is 1303600; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 3259

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,366,780

Proper Divisor Sum 3,759,580

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2607181 ← → #2607217

Radix Representation

Decimal	2607200
Binary	1001111100100001100000 (22 bits)
Octal	0o11744140
Hexadecimal	0x27C860

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 3,259 6,518 13,036 16,295 26,072 32,590 52,144 65,180 81,475 104,288 130,360 162,950 260,720 325,900 521,440 651,800 1,303,600 2,607,200

Collatz Trajectory (42 steps to reach 1)

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

2,607,200 1,303,600 651,800 325,900 162,950 81,475 244,426 122,213 366,640 183,320 91,660 45,830 22,915 68,746 34,373 103,120 51,560 25,780 12,890 6,445 19,336 9,668 4,834 2,417 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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