3,461,853

3 × 137 × 8423

Starting at 3,461,853, the Collatz iteration reaches 1 after 97 steps. The first transition is 10385560; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 137 × 8423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,650,048

Proper Divisor Sum 1,188,195

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3461849 ← → #3461867

Radix Representation

Decimal	3461853
Binary	1101001101001011011101 (22 bits)
Octal	0o15151335
Hexadecimal	0x34D2DD

Divisor Catalog (8)

1 3 137 411 8,423 25,269 1,153,951 3,461,853

Collatz Trajectory (97 steps to reach 1)

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

3,461,853 10,385,560 5,192,780 2,596,390 1,298,195 3,894,586 1,947,293 5,841,880 2,920,940 1,460,470 730,235 2,190,706 1,095,353 3,286,060 1,643,030 821,515 2,464,546 1,232,273 3,696,820 1,848,410 924,205 2,772,616 1,386,308 693,154 346,577 1,039,732 519,866 259,933 779,800 389,900 194,950 97,475 292,426 146,213 438,640 219,320 109,660 54,830 27,415 82,246 41,123 123,370 61,685 185,056 92,528 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220 610

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