λ
Ratio Atlas

48,288,239

48288239
Deficient Odd Prime

48,288,239 factors as 48288239. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 279 steps.

Prime Factor Structure

Factorization String 48288239
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 48,288,240
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #48288209 ← → #48288241

Radix Representation

Decimal 48288239
Binary 10111000001101000111101111 (26 bits)
Octal 0o270150757
Hexadecimal 0x2E0D1EF

Divisor Catalog (2)

Collatz Trajectory (279 steps to reach 1)

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

48,288,239 144,864,718 72,432,359 217,297,078 108,648,539 325,945,618 162,972,809 488,918,428 244,459,214 122,229,607 366,688,822 183,344,411 550,033,234 275,016,617 825,049,852 412,524,926 206,262,463 618,787,390 309,393,695 928,181,086 464,090,543 1,392,271,630 696,135,815 2,088,407,446 1,044,203,723 3,132,611,170 1,566,305,585 4,698,916,756 2,349,458,378 1,174,729,189 3,524,187,568 1,762,093,784 881,046,892 440,523,446 220,261,723 660,785,170 330,392,585 991,177,756 495,588,878 247,794,439 743,383,318 371,691,659 1,115,074,978 557,537,489 1,672,612,468 836,306,234 418,153,117 1,254,459,352 627,229,676 313,614,838 156,807,419 470,422,258 235,211,129 705,633,388 352,816,694 176,408,347 529,225,042 264,612,521 793,837,564 396,918,782

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