2,240,616

2³ × 3 × 7 × 13337

2,240,616 has the prime decomposition 2^3 × 3 × 7 × 13337. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,402,240

Proper Divisor Sum 4,161,624

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2240597 ← → #2240629

Radix Representation

Decimal	2240616
Binary	1000100011000001101000 (22 bits)
Octal	0o10430150
Hexadecimal	0x223068

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 13,337 26,674 40,011 53,348 80,022 93,359 106,696 160,044 186,718 280,077 320,088 373,436 560,154 746,872 1,120,308 2,240,616

Collatz Trajectory (86 steps to reach 1)

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

2,240,616 1,120,308 560,154 280,077 840,232 420,116 210,058 105,029 315,088 157,544 78,772 39,386 19,693 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67

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