262,377

3² × 29153

Starting at 262,377, the Collatz iteration reaches 1 after 101 steps. The first transition is 787132; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29153

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 379,002

Proper Divisor Sum 116,625

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #262369 ← → #262387

Radix Representation

Decimal	262377
Binary	1000000000011101001 (19 bits)
Octal	0o1000351
Hexadecimal	0x400E9

Divisor Catalog (6)

1 3 9 29,153 87,459 262,377

Collatz Trajectory (101 steps to reach 1)

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

262,377 787,132 393,566 196,783 590,350 295,175 885,526 442,763 1,328,290 664,145 1,992,436 996,218 498,109 1,494,328 747,164 373,582 186,791 560,374 280,187 840,562 420,281 1,260,844 630,422 315,211 945,634 472,817 1,418,452 709,226 354,613 1,063,840 531,920 265,960 132,980 66,490 33,245 99,736 49,868 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278

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