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Atlas › Integer Profiles › Node 48,707,698

48,707,698

2 × 13 × 23 × 47 × 1733
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 23 × 47 × 1733
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,897,856
Proper Divisor Sum 35,190,158
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #48707693 ← → #48707719

Radix Representation

Decimal 48707698
Binary 10111001110011100001110010 (26 bits)
Octal 0o271634162
Hexadecimal 0x2E73872

Divisor Catalog (32)

1 2 13 23 26 46 47 94 299 598 611 1,081 1,222 1,733 2,162 3,466 14,053 22,529 28,106 39,859 45,058 79,718 81,451 162,902 518,167 1,036,334 1,058,863 1,873,373 2,117,726 3,746,746 24,353,849 48,707,698

Collatz Trajectory (248 steps to reach 1)

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

48,707,698 24,353,849 73,061,548 36,530,774 18,265,387 54,796,162 27,398,081 82,194,244 41,097,122 20,548,561 61,645,684 30,822,842 15,411,421 46,234,264 23,117,132 11,558,566 5,779,283 17,337,850 8,668,925 26,006,776 13,003,388 6,501,694 3,250,847 9,752,542 4,876,271 14,628,814 7,314,407 21,943,222 10,971,611 32,914,834 16,457,417 49,372,252 24,686,126 12,343,063 37,029,190 18,514,595 55,543,786 27,771,893 83,315,680 41,657,840 20,828,920 10,414,460 5,207,230 2,603,615 7,810,846 3,905,423 11,716,270 5,858,135 17,574,406 8,787,203 26,361,610 13,180,805 39,542,416 19,771,208 9,885,604 4,942,802 2,471,401 7,414,204 3,707,102 1,853,551

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