2,580,766

2 × 157 × 8219

Starting at 2,580,766, the Collatz iteration reaches 1 after 187 steps. The first transition is 1290383; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 157 × 8219

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,896,280

Proper Divisor Sum 1,315,514

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2580757 ← → #2580791

Radix Representation

Decimal	2580766
Binary	1001110110000100011110 (22 bits)
Octal	0o11660436
Hexadecimal	0x27611E

Divisor Catalog (8)

1 2 157 314 8,219 16,438 1,290,383 2,580,766

Collatz Trajectory (187 steps to reach 1)

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

2,580,766 1,290,383 3,871,150 1,935,575 5,806,726 2,903,363 8,710,090 4,355,045 13,065,136 6,532,568 3,266,284 1,633,142 816,571 2,449,714 1,224,857 3,674,572 1,837,286 918,643 2,755,930 1,377,965 4,133,896 2,066,948 1,033,474 516,737 1,550,212 775,106 387,553 1,162,660 581,330 290,665 871,996 435,998 217,999 653,998 326,999 980,998 490,499 1,471,498 735,749 2,207,248 1,103,624 551,812 275,906 137,953 413,860 206,930 103,465 310,396 155,198 77,599 232,798 116,399 349,198 174,599 523,798 261,899 785,698 392,849 1,178,548 589,274

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