2,048,692

2² × 43² × 277

Starting at 2,048,692, the Collatz iteration reaches 1 after 91 steps. The first transition is 1024346; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 43^2 × 277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 3,683,778

Proper Divisor Sum 1,635,086

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2048677 ← → #2048699

Radix Representation

Decimal	2048692
Binary	111110100001010110100 (21 bits)
Octal	0o7641264
Hexadecimal	0x1F42B4

Divisor Catalog (18)

1 2 4 43 86 172 277 554 1,108 1,849 3,698 7,396 11,911 23,822 47,644 512,173 1,024,346 2,048,692

Collatz Trajectory (91 steps to reach 1)

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

2,048,692 1,024,346 512,173 1,536,520 768,260 384,130 192,065 576,196 288,098 144,049 432,148 216,074 108,037 324,112 162,056 81,028 40,514 20,257 60,772 30,386 15,193 45,580 22,790 11,395 34,186 17,093 51,280 25,640 12,820 6,410 3,205 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186

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