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Atlas › Integer Profiles › Node 44,827,376

44,827,376

24 × 11 × 487 × 523
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 11 × 487 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 95,124,864
Proper Divisor Sum 50,297,488
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #44827373 ← → #44827397

Radix Representation

Decimal 44827376
Binary 10101011000000001011110000 (26 bits)
Octal 0o253001360
Hexadecimal 0x2AC02F0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 487 523 974 1,046 1,948 2,092 3,896 4,184 5,357 5,753 7,792 8,368 10,714 11,506 21,428 23,012 42,856 46,024 85,712 92,048 254,701 509,402 1,018,804 2,037,608 2,801,711 4,075,216 5,603,422 11,206,844 22,413,688 44,827,376

Collatz Trajectory (310 steps to reach 1)

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

44,827,376 22,413,688 11,206,844 5,603,422 2,801,711 8,405,134 4,202,567 12,607,702 6,303,851 18,911,554 9,455,777 28,367,332 14,183,666 7,091,833 21,275,500 10,637,750 5,318,875 15,956,626 7,978,313 23,934,940 11,967,470 5,983,735 17,951,206 8,975,603 26,926,810 13,463,405 40,390,216 20,195,108 10,097,554 5,048,777 15,146,332 7,573,166 3,786,583 11,359,750 5,679,875 17,039,626 8,519,813 25,559,440 12,779,720 6,389,860 3,194,930 1,597,465 4,792,396 2,396,198 1,198,099 3,594,298 1,797,149 5,391,448 2,695,724 1,347,862 673,931 2,021,794 1,010,897 3,032,692 1,516,346 758,173 2,274,520 1,137,260 568,630 284,315

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