4,342,172

2² × 37 × 29339

Starting at 4,342,172, the Collatz iteration reaches 1 after 66 steps. The first transition is 2171086; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 29339

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,804,440

Proper Divisor Sum 3,462,268

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4342153 ← → #4342207

Radix Representation

Decimal	4342172
Binary	10000100100000110011100 (23 bits)
Octal	0o20440634
Hexadecimal	0x42419C

Divisor Catalog (12)

1 2 4 37 74 148 29,339 58,678 117,356 1,085,543 2,171,086 4,342,172

Collatz Trajectory (66 steps to reach 1)

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

4,342,172 2,171,086 1,085,543 3,256,630 1,628,315 4,884,946 2,442,473 7,327,420 3,663,710 1,831,855 5,495,566 2,747,783 8,243,350 4,121,675 12,365,026 6,182,513 18,547,540 9,273,770 4,636,885 13,910,656 6,955,328 3,477,664 1,738,832 869,416 434,708 217,354 108,677 326,032 163,016 81,508 40,754 20,377 61,132 30,566 15,283 45,850 22,925 68,776 34,388 17,194 8,597 25,792 12,896 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128

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