2,259,782

2 × 7² × 23059

Starting at 2,259,782, the Collatz iteration reaches 1 after 179 steps. The first transition is 1129891; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 23059

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,943,260

Proper Divisor Sum 1,683,478

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2259781 ← → #2259791

Radix Representation

Decimal	2259782
Binary	1000100111101101000110 (22 bits)
Octal	0o10475506
Hexadecimal	0x227B46

Divisor Catalog (12)

1 2 7 14 49 98 23,059 46,118 161,413 322,826 1,129,891 2,259,782

Collatz Trajectory (179 steps to reach 1)

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

2,259,782 1,129,891 3,389,674 1,694,837 5,084,512 2,542,256 1,271,128 635,564 317,782 158,891 476,674 238,337 715,012 357,506 178,753 536,260 268,130 134,065 402,196 201,098 100,549 301,648 150,824 75,412 37,706 18,853 56,560 28,280 14,140 7,070 3,535 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344

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