3,317,520

2⁴ × 3 × 5 × 23 × 601

3,317,520 is even and not a perfect square. Its factorization is 2^4 × 3 × 5 × 23 × 601 and its 80 divisors sum to 10,749,312.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 23 × 601

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 10,749,312

Proper Divisor Sum 7,431,792

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3317507 ← → #3317521

Radix Representation

Decimal	3317520
Binary	1100101001111100010000 (22 bits)
Octal	0o14517420
Hexadecimal	0x329F10

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 601 690 920 1,104 1,202 1,380 1,803 1,840 2,404 2,760 3,005 3,606 4,808 5,520 6,010 7,212 9,015 9,616 12,020 13,823 14,424 18,030 24,040 27,646 28,848 36,060 41,469

Collatz Trajectory (133 steps to reach 1)

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

3,317,520 1,658,760 829,380 414,690 207,345 622,036 311,018 155,509 466,528 233,264 116,632 58,316 29,158 14,579 43,738 21,869 65,608 32,804 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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