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Atlas › Integer Profiles › Node 48,628,112

48,628,112

24 × 13 × 389 × 601
Abundant Even Composite

48,628,112 factors as 2^4 × 13 × 389 × 601. Its 40 positive divisors give a proper-divisor sum of 53,266,408, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 389 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 101,894,520
Proper Divisor Sum 53,266,408
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #48628093 ← → #48628121

Radix Representation

Decimal 48628112
Binary 10111001100000000110010000 (26 bits)
Octal 0o271400620
Hexadecimal 0x2E60190

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 208 389 601 778 1,202 1,556 2,404 3,112 4,808 5,057 6,224 7,813 9,616 10,114 15,626 20,228 31,252 40,456 62,504 80,912 125,008 233,789 467,578 935,156 1,870,312 3,039,257 3,740,624 6,078,514 12,157,028 24,314,056 48,628,112

Collatz Trajectory (137 steps to reach 1)

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

48,628,112 24,314,056 12,157,028 6,078,514 3,039,257 9,117,772 4,558,886 2,279,443 6,838,330 3,419,165 10,257,496 5,128,748 2,564,374 1,282,187 3,846,562 1,923,281 5,769,844 2,884,922 1,442,461 4,327,384 2,163,692 1,081,846 540,923 1,622,770 811,385 2,434,156 1,217,078 608,539 1,825,618 912,809 2,738,428 1,369,214 684,607 2,053,822 1,026,911 3,080,734 1,540,367 4,621,102 2,310,551 6,931,654 3,465,827 10,397,482 5,198,741 15,596,224 7,798,112 3,899,056 1,949,528 974,764 487,382 243,691 731,074 365,537 1,096,612 548,306 274,153 822,460 411,230 205,615 616,846 308,423

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