373,398

2 × 3 × 62233

Starting at 373,398, the Collatz iteration reaches 1 after 60 steps. The first transition is 186699; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 62233

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 746,808

Proper Divisor Sum 373,410

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #373393 ← → #373447

Radix Representation

Decimal	373398
Binary	1011011001010010110 (19 bits)
Octal	0o1331226
Hexadecimal	0x5B296

Divisor Catalog (8)

1 2 3 6 62,233 124,466 186,699 373,398

Collatz Trajectory (60 steps to reach 1)

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

373,398 186,699 560,098 280,049 840,148 420,074 210,037 630,112 315,056 157,528 78,764 39,382 19,691 59,074 29,537 88,612 44,306 22,153 66,460 33,230 16,615 49,846 24,923 74,770 37,385 112,156 56,078 28,039 84,118 42,059 126,178 63,089 189,268 94,634 47,317 141,952 70,976 35,488 17,744 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2

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