1,776,582

2 × 3² × 229 × 431

1,776,582 factors as 2 × 3^2 × 229 × 431. Its 24 positive divisors give a proper-divisor sum of 2,098,458, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 229 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,875,040

Proper Divisor Sum 2,098,458

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1776581 ← → #1776587

Radix Representation

Decimal	1776582
Binary	110110001101111000110 (21 bits)
Octal	0o6615706
Hexadecimal	0x1B1BC6

Divisor Catalog (24)

1 2 3 6 9 18 229 431 458 687 862 1,293 1,374 2,061 2,586 3,879 4,122 7,758 98,699 197,398 296,097 592,194 888,291 1,776,582

Collatz Trajectory (96 steps to reach 1)

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

1,776,582 888,291 2,664,874 1,332,437 3,997,312 1,998,656 999,328 499,664 249,832 124,916 62,458 31,229 93,688 46,844 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314

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