λ
Ratio Atlas

57,700,348

22 × 59 × 244493
Deficient Even Composite

57,700,348 factors as 2^2 × 59 × 244493. Its 12 positive divisors give a proper-divisor sum of 44,987,132, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^2 × 59 × 244493
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 102,687,480
Proper Divisor Sum 44,987,132
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57700309 ← → #57700361

Radix Representation

Decimal 57700348
Binary 11011100000110111111111100 (26 bits)
Octal 0o334067774
Hexadecimal 0x3706FFC

Divisor Catalog (12)

Collatz Trajectory (282 steps to reach 1)

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

57,700,348 28,850,174 14,425,087 43,275,262 21,637,631 64,912,894 32,456,447 97,369,342 48,684,671 146,054,014 73,027,007 219,081,022 109,540,511 328,621,534 164,310,767 492,932,302 246,466,151 739,398,454 369,699,227 1,109,097,682 554,548,841 1,663,646,524 831,823,262 415,911,631 1,247,734,894 623,867,447 1,871,602,342 935,801,171 2,807,403,514 1,403,701,757 4,211,105,272 2,105,552,636 1,052,776,318 526,388,159 1,579,164,478 789,582,239 2,368,746,718 1,184,373,359 3,553,120,078 1,776,560,039 5,329,680,118 2,664,840,059 7,994,520,178 3,997,260,089 11,991,780,268 5,995,890,134 2,997,945,067 8,993,835,202 4,496,917,601 13,490,752,804 6,745,376,402 3,372,688,201 10,118,064,604 5,059,032,302 2,529,516,151 7,588,548,454 3,794,274,227 11,382,822,682 5,691,411,341 17,074,234,024

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