840,528

2⁴ × 3² × 13 × 449

840,528 has the prime decomposition 2^4 × 3^2 × 13 × 449. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 2,538,900

Proper Divisor Sum 1,698,372

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #840523 ← → #840547

Radix Representation

Decimal	840528
Binary	11001101001101010000 (20 bits)
Octal	0o3151520
Hexadecimal	0xCD350

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 449 468 624 898 936 1,347 1,796 1,872 2,694 3,592 4,041 5,388 5,837 7,184 8,082 10,776 11,674 16,164 17,511 21,552 23,348 32,328 35,022 46,696 52,533 64,656 70,044 93,392 105,066 140,088 210,132 280,176 420,264 840,528

Collatz Trajectory (82 steps to reach 1)

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

840,528 420,264 210,132 105,066 52,533 157,600 78,800 39,400 19,700 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 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 67 202 101 304 152

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