4,692,258

2 × 3² × 29 × 89 × 101

Starting at 4,692,258, the Collatz iteration reaches 1 after 175 steps. The first transition is 2346129; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 89 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,740,600

Proper Divisor Sum 6,048,342

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4692257 ← → #4692277

Radix Representation

Decimal	4692258
Binary	10001111001100100100010 (23 bits)
Octal	0o21714442
Hexadecimal	0x479922

Divisor Catalog (48)

1 2 3 6 9 18 29 58 87 89 101 174 178 202 261 267 303 522 534 606 801 909 1,602 1,818 2,581 2,929 5,162 5,858 7,743 8,787 8,989 15,486 17,574 17,978 23,229 26,361 26,967 46,458 52,722 53,934 80,901 161,802 260,681 521,362 782,043 1,564,086 2,346,129 4,692,258

Collatz Trajectory (175 steps to reach 1)

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

4,692,258 2,346,129 7,038,388 3,519,194 1,759,597 5,278,792 2,639,396 1,319,698 659,849 1,979,548 989,774 494,887 1,484,662 742,331 2,226,994 1,113,497 3,340,492 1,670,246 835,123 2,505,370 1,252,685 3,758,056 1,879,028 939,514 469,757 1,409,272 704,636 352,318 176,159 528,478 264,239 792,718 396,359 1,189,078 594,539 1,783,618 891,809 2,675,428 1,337,714 668,857 2,006,572 1,003,286 501,643 1,504,930 752,465 2,257,396 1,128,698 564,349 1,693,048 846,524 423,262 211,631 634,894 317,447 952,342 476,171 1,428,514 714,257 2,142,772 1,071,386

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