3,596,112

2⁴ × 3² × 13 × 17 × 113

Starting at 3,596,112, the Collatz iteration reaches 1 after 203 steps. The first transition is 1798056; the starting value is even with 120 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 17 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 11,577,384

Proper Divisor Sum 7,981,272

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3596107 ← → #3596123

Radix Representation

Decimal	3596112
Binary	1101101101111101010000 (22 bits)
Octal	0o15557520
Hexadecimal	0x36DF50

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 113 117 136 144 153 156 204 208 221 226 234 272 306 312 339 408 442 452 468 612 624 663 678 816 884 904 936 1,017 1,224 1,326 1,356 1,469 1,768 1,808 1,872

Collatz Trajectory (203 steps to reach 1)

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

3,596,112 1,798,056 899,028 449,514 224,757 674,272 337,136 168,568 84,284 42,142 21,071 63,214 31,607 94,822 47,411 142,234 71,117 213,352 106,676 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841

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