4,193,458

2 × 17 × 29 × 4253

Starting at 4,193,458, the Collatz iteration reaches 1 after 79 steps. The first transition is 2096729; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 29 × 4253

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,891,480

Proper Divisor Sum 2,698,022

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4193447 ← → #4193459

Radix Representation

Decimal	4193458
Binary	1111111111110010110010 (22 bits)
Octal	0o17776262
Hexadecimal	0x3FFCB2

Divisor Catalog (16)

1 2 17 29 34 58 493 986 4,253 8,506 72,301 123,337 144,602 246,674 2,096,729 4,193,458

Collatz Trajectory (79 steps to reach 1)

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

4,193,458 2,096,729 6,290,188 3,145,094 1,572,547 4,717,642 2,358,821 7,076,464 3,538,232 1,769,116 884,558 442,279 1,326,838 663,419 1,990,258 995,129 2,985,388 1,492,694 746,347 2,239,042 1,119,521 3,358,564 1,679,282 839,641 2,518,924 1,259,462 629,731 1,889,194 944,597 2,833,792 1,416,896 708,448 354,224 177,112 88,556 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722 37,361 112,084 56,042 28,021 84,064 42,032 21,016 10,508 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739

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