6,615,688

2³ × 227 × 3643

Starting at 6,615,688, the Collatz iteration reaches 1 after 178 steps. The first transition is 3307844; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 227 × 3643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,462,480

Proper Divisor Sum 5,846,792

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6615677 ← → #6615727

Radix Representation

Decimal	6615688
Binary	11001001111001010001000 (23 bits)
Octal	0o31171210
Hexadecimal	0x64F288

Divisor Catalog (16)

1 2 4 8 227 454 908 1,816 3,643 7,286 14,572 29,144 826,961 1,653,922 3,307,844 6,615,688

Collatz Trajectory (178 steps to reach 1)

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

6,615,688 3,307,844 1,653,922 826,961 2,480,884 1,240,442 620,221 1,860,664 930,332 465,166 232,583 697,750 348,875 1,046,626 523,313 1,569,940 784,970 392,485 1,177,456 588,728 294,364 147,182 73,591 220,774 110,387 331,162 165,581 496,744 248,372 124,186 62,093 186,280 93,140 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168

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