48,044,241

3² × 7 × 37 × 20611

48,044,241 factors as 3^2 × 7 × 37 × 20611. Its 24 positive divisors give a proper-divisor sum of 33,414,383, so this integer is deficient. The Collatz stopping time is 323 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 37 × 20611

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 81,458,624

Proper Divisor Sum 33,414,383

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #48044239 ← → #48044303

Radix Representation

Decimal	48044241
Binary	10110111010001100011010001 (26 bits)
Octal	0o267214321
Hexadecimal	0x2DD18D1

Divisor Catalog (24)

Collatz Trajectory (323 steps to reach 1)

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

48,044,241 144,132,724 72,066,362 36,033,181 108,099,544 54,049,772 27,024,886 13,512,443 40,537,330 20,268,665 60,805,996 30,402,998 15,201,499 45,604,498 22,802,249 68,406,748 34,203,374 17,101,687 51,305,062 25,652,531 76,957,594 38,478,797 115,436,392 57,718,196 28,859,098 14,429,549 43,288,648 21,644,324 10,822,162 5,411,081 16,233,244 8,116,622 4,058,311 12,174,934 6,087,467 18,262,402 9,131,201 27,393,604 13,696,802 6,848,401 20,545,204 10,272,602 5,136,301 15,408,904 7,704,452 3,852,226 1,926,113 5,778,340 2,889,170 1,444,585 4,333,756 2,166,878 1,083,439 3,250,318 1,625,159 4,875,478 2,437,739 7,313,218 3,656,609 10,969,828

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