2,045,736

2³ × 3⁴ × 7 × 11 × 41

Starting at 2,045,736, the Collatz iteration reaches 1 after 91 steps. The first transition is 1022868; the starting value is even with 160 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 11 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 7,318,080

Proper Divisor Sum 5,272,344

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2045731 ← → #2045753

Radix Representation

Decimal	2045736
Binary	111110011011100101000 (21 bits)
Octal	0o7633450
Hexadecimal	0x1F3728

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 41 42 44 54 56 63 66 72 77 81 82 84 88 99 108 123 126 132 154 162 164 168 189 198 216 231 246 252 264 287 297 308 324 328 369 378 396 451 462 492 504

Collatz Trajectory (91 steps to reach 1)

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

2,045,736 1,022,868 511,434 255,717 767,152 383,576 191,788 95,894 47,947 143,842 71,921 215,764 107,882 53,941 161,824 80,912 40,456 20,228 10,114 5,057 15,172 7,586 3,793 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186

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