λ
Ratio Atlas

48,246,783

3 × 13 × 557 × 2221
Deficient Odd Composite

48,246,783 factors as 3 × 13 × 557 × 2221. Its 16 positive divisors give a proper-divisor sum of 21,186,273, so this integer is deficient. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 3 × 13 × 557 × 2221
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 69,433,056
Proper Divisor Sum 21,186,273
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #48246773 ← → #48246787

Radix Representation

Decimal 48246783
Binary 10111000000010111111111111 (26 bits)
Octal 0o270027777
Hexadecimal 0x2E02FFF

Divisor Catalog (16)

Collatz Trajectory (336 steps to reach 1)

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

48,246,783 144,740,350 72,370,175 217,110,526 108,555,263 325,665,790 162,832,895 488,498,686 244,249,343 732,748,030 366,374,015 1,099,122,046 549,561,023 1,648,683,070 824,341,535 2,473,024,606 1,236,512,303 3,709,536,910 1,854,768,455 5,564,305,366 2,782,152,683 8,346,458,050 4,173,229,025 12,519,687,076 6,259,843,538 3,129,921,769 9,389,765,308 4,694,882,654 2,347,441,327 7,042,323,982 3,521,161,991 10,563,485,974 5,281,742,987 15,845,228,962 7,922,614,481 23,767,843,444 11,883,921,722 5,941,960,861 17,825,882,584 8,912,941,292 4,456,470,646 2,228,235,323 6,684,705,970 3,342,352,985 10,027,058,956 5,013,529,478 2,506,764,739 7,520,294,218 3,760,147,109 11,280,441,328 5,640,220,664 2,820,110,332 1,410,055,166 705,027,583 2,115,082,750 1,057,541,375 3,172,624,126 1,586,312,063 4,758,936,190 2,379,468,095

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