4,159,261

43 × 197 × 491

Starting at 4,159,261, the Collatz iteration reaches 1 after 136 steps. The first transition is 12477784; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 43 × 197 × 491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,286,304

Proper Divisor Sum 127,043

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4159247 ← → #4159273

Radix Representation

Decimal	4159261
Binary	1111110111011100011101 (22 bits)
Octal	0o17673435
Hexadecimal	0x3F771D

Divisor Catalog (8)

1 43 197 491 8,471 21,113 96,727 4,159,261

Collatz Trajectory (136 steps to reach 1)

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

4,159,261 12,477,784 6,238,892 3,119,446 1,559,723 4,679,170 2,339,585 7,018,756 3,509,378 1,754,689 5,264,068 2,632,034 1,316,017 3,948,052 1,974,026 987,013 2,961,040 1,480,520 740,260 370,130 185,065 555,196 277,598 138,799 416,398 208,199 624,598 312,299 936,898 468,449 1,405,348 702,674 351,337 1,054,012 527,006 263,503 790,510 395,255 1,185,766 592,883 1,778,650 889,325 2,667,976 1,333,988 666,994 333,497 1,000,492 500,246 250,123 750,370 375,185 1,125,556 562,778 281,389 844,168 422,084 211,042 105,521 316,564 158,282

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