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Atlas › Integer Profiles › Node 44,329,030

44,329,030

2 × 5 × 17 × 107 × 2437
Deficient Even Composite

44,329,030 factors as 2 × 5 × 17 × 107 × 2437. Its 32 positive divisors give a proper-divisor sum of 40,981,466, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 107 × 2437
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,310,496
Proper Divisor Sum 40,981,466
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #44328989 ← → #44329057

Radix Representation

Decimal 44329030
Binary 10101001000110100001000110 (26 bits)
Octal 0o251064106
Hexadecimal 0x2A46846

Divisor Catalog (32)

1 2 5 10 17 34 85 107 170 214 535 1,070 1,819 2,437 3,638 4,874 9,095 12,185 18,190 24,370 41,429 82,858 207,145 260,759 414,290 521,518 1,303,795 2,607,590 4,432,903 8,865,806 22,164,515 44,329,030

Collatz Trajectory (173 steps to reach 1)

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

44,329,030 22,164,515 66,493,546 33,246,773 99,740,320 49,870,160 24,935,080 12,467,540 6,233,770 3,116,885 9,350,656 4,675,328 2,337,664 1,168,832 584,416 292,208 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218

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