334,213

11 × 23 × 1321

Starting at 334,213, the Collatz iteration reaches 1 after 153 steps. The first transition is 1002640; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 23 × 1321

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 380,736

Proper Divisor Sum 46,523

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #334199 ← → #334231

Radix Representation

Decimal	334213
Binary	1010001100110000101 (19 bits)
Octal	0o1214605
Hexadecimal	0x51985

Divisor Catalog (8)

1 11 23 253 1,321 14,531 30,383 334,213

Collatz Trajectory (153 steps to reach 1)

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

334,213 1,002,640 501,320 250,660 125,330 62,665 187,996 93,998 46,999 140,998 70,499 211,498 105,749 317,248 158,624 79,312 39,656 19,828 9,914 4,957 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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