8,609,019

3 × 239 × 12007

Starting at 8,609,019, the Collatz iteration reaches 1 after 181 steps. The first transition is 25827058; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 239 × 12007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,527,680

Proper Divisor Sum 2,918,661

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8608973 ← → #8609023

Radix Representation

Decimal	8609019
Binary	100000110101110011111011 (24 bits)
Octal	0o40656373
Hexadecimal	0x835CFB

Divisor Catalog (8)

1 3 239 717 12,007 36,021 2,869,673 8,609,019

Collatz Trajectory (181 steps to reach 1)

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

8,609,019 25,827,058 12,913,529 38,740,588 19,370,294 9,685,147 29,055,442 14,527,721 43,583,164 21,791,582 10,895,791 32,687,374 16,343,687 49,031,062 24,515,531 73,546,594 36,773,297 110,319,892 55,159,946 27,579,973 82,739,920 41,369,960 20,684,980 10,342,490 5,171,245 15,513,736 7,756,868 3,878,434 1,939,217 5,817,652 2,908,826 1,454,413 4,363,240 2,181,620 1,090,810 545,405 1,636,216 818,108 409,054 204,527 613,582 306,791 920,374 460,187 1,380,562 690,281 2,070,844 1,035,422 517,711 1,553,134 776,567 2,329,702 1,164,851 3,494,554 1,747,277 5,241,832 2,620,916 1,310,458 655,229 1,965,688

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