λ
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Atlas › Integer Profiles › Node 44,049,698

44,049,698

2 × 7 × 11 × 31 × 9227
Deficient Even Composite

44,049,698 factors as 2 × 7 × 11 × 31 × 9227. Its 32 positive divisors give a proper-divisor sum of 40,995,550, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 31 × 9227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,045,248
Proper Divisor Sum 40,995,550
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #44049697 ← → #44049713

Radix Representation

Decimal 44049698
Binary 10101000000010010100100010 (26 bits)
Octal 0o250022442
Hexadecimal 0x2A02522

Divisor Catalog (32)

1 2 7 11 14 22 31 62 77 154 217 341 434 682 2,387 4,774 9,227 18,454 64,589 101,497 129,178 202,994 286,037 572,074 710,479 1,420,958 2,002,259 3,146,407 4,004,518 6,292,814 22,024,849 44,049,698

Collatz Trajectory (191 steps to reach 1)

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

44,049,698 22,024,849 66,074,548 33,037,274 16,518,637 49,555,912 24,777,956 12,388,978 6,194,489 18,583,468 9,291,734 4,645,867 13,937,602 6,968,801 20,906,404 10,453,202 5,226,601 15,679,804 7,839,902 3,919,951 11,759,854 5,879,927 17,639,782 8,819,891 26,459,674 13,229,837 39,689,512 19,844,756 9,922,378 4,961,189 14,883,568 7,441,784 3,720,892 1,860,446 930,223 2,790,670 1,395,335 4,186,006 2,093,003 6,279,010 3,139,505 9,418,516 4,709,258 2,354,629 7,063,888 3,531,944 1,765,972 882,986 441,493 1,324,480 662,240 331,120 165,560 82,780 41,390 20,695 62,086 31,043 93,130 46,565

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