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2,887,296

27 × 3 × 73 × 103
Abundant Even Composite

2,887,296 factors as 2^7 × 3 × 73 × 103. Its 64 positive divisors give a proper-divisor sum of 4,962,624, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 73 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,849,920
Proper Divisor Sum 4,962,624
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2887289 ← → #2887307

Radix Representation

Decimal 2887296
Binary 1011000000111010000000 (22 bits)
Octal 0o13007200
Hexadecimal 0x2C0E80

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 16 24 32 48 64 73 96 103 128 146 192 206 219 292 309 384 412 438 584 618 824 876 1,168 1,236 1,648 1,752 2,336 2,472 3,296 3,504 4,672 4,944 6,592 7,008 7,519 9,344 9,888 13,184 14,016 15,038 19,776 22,557 28,032 30,076 39,552 45,114 60,152 90,228 120,304 180,456 240,608 360,912 481,216

Collatz Trajectory (94 steps to reach 1)

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

2,887,296 1,443,648 721,824 360,912 180,456 90,228 45,114 22,557 67,672 33,836 16,918 8,459 25,378 12,689 38,068 19,034 9,517 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 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

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