2,048,693

157 × 13049

Starting at 2,048,693, the Collatz iteration reaches 1 after 91 steps. The first transition is 6146080; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 157 × 13049

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,061,900

Proper Divisor Sum 13,207

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2048677 ← → #2048699

Radix Representation

Decimal	2048693
Binary	111110100001010110101 (21 bits)
Octal	0o7641265
Hexadecimal	0x1F42B5

Divisor Catalog (4)

1 157 13,049 2,048,693

Collatz Trajectory (91 steps to reach 1)

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

2,048,693 6,146,080 3,073,040 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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