2,649,320

2³ × 5 × 107 × 619

Starting at 2,649,320, the Collatz iteration reaches 1 after 218 steps. The first transition is 1324660; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 107 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,026,400

Proper Divisor Sum 3,377,080

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2649319 ← → #2649323

Radix Representation

Decimal	2649320
Binary	1010000110110011101000 (22 bits)
Octal	0o12066350
Hexadecimal	0x286CE8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 107 214 428 535 619 856 1,070 1,238 2,140 2,476 3,095 4,280 4,952 6,190 12,380 24,760 66,233 132,466 264,932 331,165 529,864 662,330 1,324,660 2,649,320

Collatz Trajectory (218 steps to reach 1)

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

2,649,320 1,324,660 662,330 331,165 993,496 496,748 248,374 124,187 372,562 186,281 558,844 279,422 139,711 419,134 209,567 628,702 314,351 943,054 471,527 1,414,582 707,291 2,121,874 1,060,937 3,182,812 1,591,406 795,703 2,387,110 1,193,555 3,580,666 1,790,333 5,371,000 2,685,500 1,342,750 671,375 2,014,126 1,007,063 3,021,190 1,510,595 4,531,786 2,265,893 6,797,680 3,398,840 1,699,420 849,710 424,855 1,274,566 637,283 1,911,850 955,925 2,867,776 1,433,888 716,944 358,472 179,236 89,618 44,809 134,428 67,214 33,607 100,822

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