1,635,744

2⁵ × 3 × 11 × 1549

Starting at 1,635,744, the Collatz iteration reaches 1 after 163 steps. The first transition is 817872; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 1549

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,687,200

Proper Divisor Sum 3,051,456

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1635727 ← → #1635761

Radix Representation

Decimal	1635744
Binary	110001111010110100000 (21 bits)
Octal	0o6172640
Hexadecimal	0x18F5A0

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1,056 1,549 3,098 4,647 6,196 9,294 12,392 17,039 18,588 24,784 34,078 37,176 49,568 51,117 68,156 74,352 102,234 136,312 148,704 204,468 272,624 408,936 545,248 817,872 1,635,744

Collatz Trajectory (163 steps to reach 1)

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

1,635,744 817,872 408,936 204,468 102,234 51,117 153,352 76,676 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381

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