2,582,766

2 × 3⁴ × 107 × 149

Starting at 2,582,766, the Collatz iteration reaches 1 after 174 steps. The first transition is 1291383; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 107 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 5,880,600

Proper Divisor Sum 3,297,834

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2582761 ← → #2582771

Radix Representation

Decimal	2582766
Binary	1001110110100011101110 (22 bits)
Octal	0o11664356
Hexadecimal	0x2768EE

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 107 149 162 214 298 321 447 642 894 963 1,341 1,926 2,682 2,889 4,023 5,778 8,046 8,667 12,069 15,943 17,334 24,138 31,886 47,829 95,658 143,487 286,974 430,461 860,922 1,291,383 2,582,766

Collatz Trajectory (174 steps to reach 1)

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

2,582,766 1,291,383 3,874,150 1,937,075 5,811,226 2,905,613 8,716,840 4,358,420 2,179,210 1,089,605 3,268,816 1,634,408 817,204 408,602 204,301 612,904 306,452 153,226 76,613 229,840 114,920 57,460 28,730 14,365 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402

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