2,026,863

3⁵ × 19 × 439

Starting at 2,026,863, the Collatz iteration reaches 1 after 334 steps. The first transition is 6080590; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 19 × 439

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,203,200

Proper Divisor Sum 1,176,337

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2026841 ← → #2026877

Radix Representation

Decimal	2026863
Binary	111101110110101101111 (21 bits)
Octal	0o7566557
Hexadecimal	0x1EED6F

Divisor Catalog (24)

1 3 9 19 27 57 81 171 243 439 513 1,317 1,539 3,951 4,617 8,341 11,853 25,023 35,559 75,069 106,677 225,207 675,621 2,026,863

Collatz Trajectory (334 steps to reach 1)

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

2,026,863 6,080,590 3,040,295 9,120,886 4,560,443 13,681,330 6,840,665 20,521,996 10,260,998 5,130,499 15,391,498 7,695,749 23,087,248 11,543,624 5,771,812 2,885,906 1,442,953 4,328,860 2,164,430 1,082,215 3,246,646 1,623,323 4,869,970 2,434,985 7,304,956 3,652,478 1,826,239 5,478,718 2,739,359 8,218,078 4,109,039 12,327,118 6,163,559 18,490,678 9,245,339 27,736,018 13,868,009 41,604,028 20,802,014 10,401,007 31,203,022 15,601,511 46,804,534 23,402,267 70,206,802 35,103,401 105,310,204 52,655,102 26,327,551 78,982,654 39,491,327 118,473,982 59,236,991 177,710,974 88,855,487 266,566,462 133,283,231 399,849,694 199,924,847 599,774,542

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