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Ratio Atlas
Atlas › Integer Profiles › Node 49,320,952

49,320,952

23 × 53 × 89 × 1307
Deficient Even Composite

49,320,952 factors as 2^3 × 53 × 89 × 1307. Its 32 positive divisors give a proper-divisor sum of 46,032,248, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 53 × 89 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,353,200
Proper Divisor Sum 46,032,248
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #49320919 ← → #49320977

Radix Representation

Decimal 49320952
Binary 10111100001001001111111000 (26 bits)
Octal 0o274111770
Hexadecimal 0x2F093F8

Divisor Catalog (32)

1 2 4 8 53 89 106 178 212 356 424 712 1,307 2,614 4,717 5,228 9,434 10,456 18,868 37,736 69,271 116,323 138,542 232,646 277,084 465,292 554,168 930,584 6,165,119 12,330,238 24,660,476 49,320,952

Collatz Trajectory (191 steps to reach 1)

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

49,320,952 24,660,476 12,330,238 6,165,119 18,495,358 9,247,679 27,743,038 13,871,519 41,614,558 20,807,279 62,421,838 31,210,919 93,632,758 46,816,379 140,449,138 70,224,569 210,673,708 105,336,854 52,668,427 158,005,282 79,002,641 237,007,924 118,503,962 59,251,981 177,755,944 88,877,972 44,438,986 22,219,493 66,658,480 33,329,240 16,664,620 8,332,310 4,166,155 12,498,466 6,249,233 18,747,700 9,373,850 4,686,925 14,060,776 7,030,388 3,515,194 1,757,597 5,272,792 2,636,396 1,318,198 659,099 1,977,298 988,649 2,965,948 1,482,974 741,487 2,224,462 1,112,231 3,336,694 1,668,347 5,005,042 2,502,521 7,507,564 3,753,782 1,876,891

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