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Atlas › Integer Profiles › Node 53,631,352

53,631,352

23 × 37 × 409 × 443
Deficient Even Composite

53,631,352 factors as 2^3 × 37 × 409 × 443. Its 32 positive divisors give a proper-divisor sum of 50,131,448, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 409 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 103,762,800
Proper Divisor Sum 50,131,448
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #53631349 ← → #53631367

Radix Representation

Decimal 53631352
Binary 11001100100101100101111000 (26 bits)
Octal 0o314454570
Hexadecimal 0x3325978

Divisor Catalog (32)

1 2 4 8 37 74 148 296 409 443 818 886 1,636 1,772 3,272 3,544 15,133 16,391 30,266 32,782 60,532 65,564 121,064 131,128 181,187 362,374 724,748 1,449,496 6,703,919 13,407,838 26,815,676 53,631,352

Collatz Trajectory (124 steps to reach 1)

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

53,631,352 26,815,676 13,407,838 6,703,919 20,111,758 10,055,879 30,167,638 15,083,819 45,251,458 22,625,729 67,877,188 33,938,594 16,969,297 50,907,892 25,453,946 12,726,973 38,180,920 19,090,460 9,545,230 4,772,615 14,317,846 7,158,923 21,476,770 10,738,385 32,215,156 16,107,578 8,053,789 24,161,368 12,080,684 6,040,342 3,020,171 9,060,514 4,530,257 13,590,772 6,795,386 3,397,693 10,193,080 5,096,540 2,548,270 1,274,135 3,822,406 1,911,203 5,733,610 2,866,805 8,600,416 4,300,208 2,150,104 1,075,052 537,526 268,763 806,290 403,145 1,209,436 604,718 302,359 907,078 453,539 1,360,618 680,309 2,040,928

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