2,567,218

2 × 71 × 101 × 179

Starting at 2,567,218, the Collatz iteration reaches 1 after 262 steps. The first transition is 1283609; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 71 × 101 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,965,760

Proper Divisor Sum 1,398,542

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2567197 ← → #2567219

Radix Representation

Decimal	2567218
Binary	1001110010110000110010 (22 bits)
Octal	0o11626062
Hexadecimal	0x272C32

Divisor Catalog (16)

1 2 71 101 142 179 202 358 7,171 12,709 14,342 18,079 25,418 36,158 1,283,609 2,567,218

Collatz Trajectory (262 steps to reach 1)

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

2,567,218 1,283,609 3,850,828 1,925,414 962,707 2,888,122 1,444,061 4,332,184 2,166,092 1,083,046 541,523 1,624,570 812,285 2,436,856 1,218,428 609,214 304,607 913,822 456,911 1,370,734 685,367 2,056,102 1,028,051 3,084,154 1,542,077 4,626,232 2,313,116 1,156,558 578,279 1,734,838 867,419 2,602,258 1,301,129 3,903,388 1,951,694 975,847 2,927,542 1,463,771 4,391,314 2,195,657 6,586,972 3,293,486 1,646,743 4,940,230 2,470,115 7,410,346 3,705,173 11,115,520 5,557,760 2,778,880 1,389,440 694,720 347,360 173,680 86,840 43,420 21,710 10,855 32,566 16,283

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