296,283

3 × 13 × 71 × 107

Starting at 296,283, the Collatz iteration reaches 1 after 264 steps. The first transition is 888850; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 71 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 435,456

Proper Divisor Sum 139,173

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #296279 ← → #296287

Radix Representation

Decimal	296283
Binary	1001000010101011011 (19 bits)
Octal	0o1102533
Hexadecimal	0x4855B

Divisor Catalog (16)

1 3 13 39 71 107 213 321 923 1,391 2,769 4,173 7,597 22,791 98,761 296,283

Collatz Trajectory (264 steps to reach 1)

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

296,283 888,850 444,425 1,333,276 666,638 333,319 999,958 499,979 1,499,938 749,969 2,249,908 1,124,954 562,477 1,687,432 843,716 421,858 210,929 632,788 316,394 158,197 474,592 237,296 118,648 59,324 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657

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