λ
Ratio Atlas

80,244,431

1741 × 46091
Deficient Odd Composite

80,244,431 factors as 1741 × 46091. Its 4 positive divisors give a proper-divisor sum of 47,833, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 1741 × 46091
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 80,292,264
Proper Divisor Sum 47,833
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #80244377 ← → #80244457

Radix Representation

Decimal 80244431
Binary 100110010000110111011001111 (27 bits)
Octal 0o462067317
Hexadecimal 0x4C86ECF

Divisor Catalog (4)

Collatz Trajectory (192 steps to reach 1)

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

80,244,431 240,733,294 120,366,647 361,099,942 180,549,971 541,649,914 270,824,957 812,474,872 406,237,436 203,118,718 101,559,359 304,678,078 152,339,039 457,017,118 228,508,559 685,525,678 342,762,839 1,028,288,518 514,144,259 1,542,432,778 771,216,389 2,313,649,168 1,156,824,584 578,412,292 289,206,146 144,603,073 433,809,220 216,904,610 108,452,305 325,356,916 162,678,458 81,339,229 244,017,688 122,008,844 61,004,422 30,502,211 91,506,634 45,753,317 137,259,952 68,629,976 34,314,988 17,157,494 8,578,747 25,736,242 12,868,121 38,604,364 19,302,182 9,651,091 28,953,274 14,476,637 43,429,912 21,714,956 10,857,478 5,428,739 16,286,218 8,143,109 24,429,328 12,214,664 6,107,332 3,053,666

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