373,733

337 × 1109

Starting at 373,733, the Collatz iteration reaches 1 after 210 steps. The first transition is 1121200; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 337 × 1109

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 375,180

Proper Divisor Sum 1,447

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #373721 ← → #373753

Radix Representation

Decimal	373733
Binary	1011011001111100101 (19 bits)
Octal	0o1331745
Hexadecimal	0x5B3E5

Divisor Catalog (4)

1 337 1,109 373,733

Collatz Trajectory (210 steps to reach 1)

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

373,733 1,121,200 560,600 280,300 140,150 70,075 210,226 105,113 315,340 157,670 78,835 236,506 118,253 354,760 177,380 88,690 44,345 133,036 66,518 33,259 99,778 49,889 149,668 74,834 37,417 112,252 56,126 28,063 84,190 42,095 126,286 63,143 189,430 94,715 284,146 142,073 426,220 213,110 106,555 319,666 159,833 479,500 239,750 119,875 359,626 179,813 539,440 269,720 134,860 67,430 33,715 101,146 50,573 151,720 75,860 37,930 18,965 56,896 28,448 14,224

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