337,893

3 × 23 × 59 × 83

Starting at 337,893, the Collatz iteration reaches 1 after 228 steps. The first transition is 1013680; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 59 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 483,840

Proper Divisor Sum 145,947

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #337891 ← → #337901

Radix Representation

Decimal	337893
Binary	1010010011111100101 (19 bits)
Octal	0o1223745
Hexadecimal	0x527E5

Divisor Catalog (16)

1 3 23 59 69 83 177 249 1,357 1,909 4,071 4,897 5,727 14,691 112,631 337,893

Collatz Trajectory (228 steps to reach 1)

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

337,893 1,013,680 506,840 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972 101,486 50,743 152,230 76,115 228,346 114,173 342,520 171,260 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722 22,861 68,584 34,292 17,146 8,573 25,720 12,860

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