6,200,784

2⁴ × 3² × 17² × 149

6,200,784 has digital root 9. The neighboring primes are 6200771 and 6200791; its proper-divisor sum differs from the starting integer by 6,156,582.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 17^2 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 18,558,150

Proper Divisor Sum 12,357,366

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6200771 ← → #6200791

Radix Representation

Decimal	6200784
Binary	10111101001110111010000 (23 bits)
Octal	0o27516720
Hexadecimal	0x5E9DD0

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 149 153 204 272 289 298 306 408 447 578 596 612 816 867 894 1,156 1,192 1,224 1,341 1,734 1,788 2,312 2,384 2,448 2,533 2,601 2,682 3,468 3,576 4,624 5,066 5,202 5,364 6,936 7,152 7,599 10,132 10,404 10,728

Collatz Trajectory (77 steps to reach 1)

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

6,200,784 3,100,392 1,550,196 775,098 387,549 1,162,648 581,324 290,662 145,331 435,994 217,997 653,992 326,996 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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