λ
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Atlas › Integer Profiles › Node 3,317,300

3,317,300

22 × 52 × 72 × 677
Abundant Even Composite

Starting at 3,317,300, the Collatz iteration reaches 1 after 133 steps. The first transition is 1658650; the starting value is even with 54 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7^2 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 8,386,182
Proper Divisor Sum 5,068,882
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3317299 ← → #3317357

Radix Representation

Decimal 3317300
Binary 1100101001111000110100 (22 bits)
Octal 0o14517064
Hexadecimal 0x329E34

Divisor Catalog (54)

1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 677 700 980 1,225 1,354 2,450 2,708 3,385 4,739 4,900 6,770 9,478 13,540 16,925 18,956 23,695 33,173 33,850 47,390 66,346 67,700 94,780 118,475 132,692 165,865 236,950 331,730 473,900 663,460 829,325 1,658,650 3,317,300

Collatz Trajectory (133 steps to reach 1)

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

3,317,300 1,658,650 829,325 2,487,976 1,243,988 621,994 310,997 932,992 466,496 233,248 116,624 58,312 29,156 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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