2,583,578

2 × 229 × 5641

Starting at 2,583,578, the Collatz iteration reaches 1 after 55 steps. The first transition is 1291789; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 229 × 5641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,892,980

Proper Divisor Sum 1,309,402

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2583577 ← → #2583589

Radix Representation

Decimal	2583578
Binary	1001110110110000011010 (22 bits)
Octal	0o11666032
Hexadecimal	0x276C1A

Divisor Catalog (8)

1 2 229 458 5,641 11,282 1,291,789 2,583,578

Collatz Trajectory (55 steps to reach 1)

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

2,583,578 1,291,789 3,875,368 1,937,684 968,842 484,421 1,453,264 726,632 363,316 181,658 90,829 272,488 136,244 68,122 34,061 102,184 51,092 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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