2,609,896

2³ × 41 × 73 × 109

Starting at 2,609,896, the Collatz iteration reaches 1 after 42 steps. The first transition is 1304948; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 41 × 73 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,128,200

Proper Divisor Sum 2,518,304

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #2609813 ← → #2609899

Radix Representation

Decimal	2609896
Binary	1001111101001011101000 (22 bits)
Octal	0o11751350
Hexadecimal	0x27D2E8

Divisor Catalog (32)

1 2 4 8 41 73 82 109 146 164 218 292 328 436 584 872 2,993 4,469 5,986 7,957 8,938 11,972 15,914 17,876 23,944 31,828 35,752 63,656 326,237 652,474 1,304,948 2,609,896

Collatz Trajectory (42 steps to reach 1)

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

2,609,896 1,304,948 652,474 326,237 978,712 489,356 244,678 122,339 367,018 183,509 550,528 275,264 137,632 68,816 34,408 17,204 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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