λ
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Atlas › Integer Profiles › Node 56,938,450

56,938,450

2 × 52 × 43 × 71 × 373
Deficient Even Composite

56,938,450 factors as 2 × 5^2 × 43 × 71 × 373. Its 48 positive divisors give a proper-divisor sum of 53,250,926, so this integer is deficient. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 43 × 71 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 110,189,376
Proper Divisor Sum 53,250,926
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #56938403 ← → #56938451

Radix Representation

Decimal 56938450
Binary 11011001001100111111010010 (26 bits)
Octal 0o331147722
Hexadecimal 0x364CFD2

Divisor Catalog (48)

1 2 5 10 25 43 50 71 86 142 215 355 373 430 710 746 1,075 1,775 1,865 2,150 3,053 3,550 3,730 6,106 9,325 15,265 16,039 18,650 26,483 30,530 32,078 52,966 76,325 80,195 132,415 152,650 160,390 264,830 400,975 662,075 801,950 1,138,769 1,324,150 2,277,538 5,693,845 11,387,690 28,469,225 56,938,450

Collatz Trajectory (313 steps to reach 1)

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

56,938,450 28,469,225 85,407,676 42,703,838 21,351,919 64,055,758 32,027,879 96,083,638 48,041,819 144,125,458 72,062,729 216,188,188 108,094,094 54,047,047 162,141,142 81,070,571 243,211,714 121,605,857 364,817,572 182,408,786 91,204,393 273,613,180 136,806,590 68,403,295 205,209,886 102,604,943 307,814,830 153,907,415 461,722,246 230,861,123 692,583,370 346,291,685 1,038,875,056 519,437,528 259,718,764 129,859,382 64,929,691 194,789,074 97,394,537 292,183,612 146,091,806 73,045,903 219,137,710 109,568,855 328,706,566 164,353,283 493,059,850 246,529,925 739,589,776 369,794,888 184,897,444 92,448,722 46,224,361 138,673,084 69,336,542 34,668,271 104,004,814 52,002,407 156,007,222 78,003,611

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