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Atlas › Integer Profiles › Node 44,519,048

44,519,048

23 × 72 × 3372
Abundant Even Composite

44,519,048 factors as 2^3 × 7^2 × 337^2. Its 36 positive divisors give a proper-divisor sum of 52,871,437, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 337^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 97,390,485
Proper Divisor Sum 52,871,437
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #44519047 ← → #44519063

Radix Representation

Decimal 44519048
Binary 10101001110100111010001000 (26 bits)
Octal 0o251647210
Hexadecimal 0x2A74E88

Divisor Catalog (36)

1 2 4 7 8 14 28 49 56 98 196 337 392 674 1,348 2,359 2,696 4,718 9,436 16,513 18,872 33,026 66,052 113,569 132,104 227,138 454,276 794,983 908,552 1,589,966 3,179,932 5,564,881 6,359,864 11,129,762 22,259,524 44,519,048

Collatz Trajectory (142 steps to reach 1)

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

44,519,048 22,259,524 11,129,762 5,564,881 16,694,644 8,347,322 4,173,661 12,520,984 6,260,492 3,130,246 1,565,123 4,695,370 2,347,685 7,043,056 3,521,528 1,760,764 880,382 440,191 1,320,574 660,287 1,980,862 990,431 2,971,294 1,485,647 4,456,942 2,228,471 6,685,414 3,342,707 10,028,122 5,014,061 15,042,184 7,521,092 3,760,546 1,880,273 5,640,820 2,820,410 1,410,205 4,230,616 2,115,308 1,057,654 528,827 1,586,482 793,241 2,379,724 1,189,862 594,931 1,784,794 892,397 2,677,192 1,338,596 669,298 334,649 1,003,948 501,974 250,987 752,962 376,481 1,129,444 564,722 282,361

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