2,653,728

2⁵ × 3 × 7 × 11 × 359

Starting at 2,653,728, the Collatz iteration reaches 1 after 63 steps. The first transition is 1326864; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 11 × 359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,709,120

Proper Divisor Sum 6,055,392

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2653727 ← → #2653733

Radix Representation

Decimal	2653728
Binary	1010000111111000100000 (22 bits)
Octal	0o12077040
Hexadecimal	0x287E20

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 359 462 528 616 672 718 924 1,056 1,077 1,232 1,436 1,848 2,154 2,464 2,513 2,872 3,696 3,949 4,308 5,026 5,744 7,392 7,539

Collatz Trajectory (63 steps to reach 1)

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

2,653,728 1,326,864 663,432 331,716 165,858 82,929 248,788 124,394 62,197 186,592 93,296 46,648 23,324 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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