1,640,765

5 × 7² × 37 × 181

Starting at 1,640,765, the Collatz iteration reaches 1 after 207 steps. The first transition is 4922296; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 37 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,365,272

Proper Divisor Sum 724,507

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1640761 ← → #1640773

Radix Representation

Decimal	1640765
Binary	110010000100100111101 (21 bits)
Octal	0o6204475
Hexadecimal	0x19093D

Divisor Catalog (24)

1 5 7 35 37 49 181 185 245 259 905 1,267 1,295 1,813 6,335 6,697 8,869 9,065 33,485 44,345 46,879 234,395 328,153 1,640,765

Collatz Trajectory (207 steps to reach 1)

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

1,640,765 4,922,296 2,461,148 1,230,574 615,287 1,845,862 922,931 2,768,794 1,384,397 4,153,192 2,076,596 1,038,298 519,149 1,557,448 778,724 389,362 194,681 584,044 292,022 146,011 438,034 219,017 657,052 328,526 164,263 492,790 246,395 739,186 369,593 1,108,780 554,390 277,195 831,586 415,793 1,247,380 623,690 311,845 935,536 467,768 233,884 116,942 58,471 175,414 87,707 263,122 131,561 394,684 197,342 98,671 296,014 148,007 444,022 222,011 666,034 333,017 999,052 499,526 249,763 749,290 374,645

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