8,149,824

2⁶ × 3² × 14149

For 8,149,824, the 42 positive divisors have a total of 23,361,650. Removing 8,149,824 leaves 15,211,826, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 14149

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 23,361,650

Proper Divisor Sum 15,211,826

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8149789 ← → #8149831

Radix Representation

Decimal	8149824
Binary	11111000101101101000000 (23 bits)
Octal	0o37055500
Hexadecimal	0x7C5B40

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 14,149 28,298 42,447 56,596 84,894 113,192 127,341 169,788 226,384 254,682 339,576 452,768 509,364 679,152 905,536 1,018,728 1,358,304 2,037,456 2,716,608 4,074,912 8,149,824

Collatz Trajectory (155 steps to reach 1)

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

8,149,824 4,074,912 2,037,456 1,018,728 509,364 254,682 127,341 382,024 191,012 95,506 47,753 143,260 71,630 35,815 107,446 53,723 161,170 80,585 241,756 120,878 60,439 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242

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