3,600,376

2³ × 13² × 2663

Starting at 3,600,376, the Collatz iteration reaches 1 after 371 steps. The first transition is 1800188; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 2663

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,312,680

Proper Divisor Sum 3,712,304

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3600361 ← → #3600383

Radix Representation

Decimal	3600376
Binary	1101101110111111111000 (22 bits)
Octal	0o15567770
Hexadecimal	0x36EFF8

Divisor Catalog (24)

1 2 4 8 13 26 52 104 169 338 676 1,352 2,663 5,326 10,652 21,304 34,619 69,238 138,476 276,952 450,047 900,094 1,800,188 3,600,376

Collatz Trajectory (371 steps to reach 1)

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

3,600,376 1,800,188 900,094 450,047 1,350,142 675,071 2,025,214 1,012,607 3,037,822 1,518,911 4,556,734 2,278,367 6,835,102 3,417,551 10,252,654 5,126,327 15,378,982 7,689,491 23,068,474 11,534,237 34,602,712 17,301,356 8,650,678 4,325,339 12,976,018 6,488,009 19,464,028 9,732,014 4,866,007 14,598,022 7,299,011 21,897,034 10,948,517 32,845,552 16,422,776 8,211,388 4,105,694 2,052,847 6,158,542 3,079,271 9,237,814 4,618,907 13,856,722 6,928,361 20,785,084 10,392,542 5,196,271 15,588,814 7,794,407 23,383,222 11,691,611 35,074,834 17,537,417 52,612,252 26,306,126 13,153,063 39,459,190 19,729,595 59,188,786 29,594,393

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