48,643,192

2³ × 13 × 19 × 103 × 239

48,643,192 factors as 2^3 × 13 × 19 × 103 × 239. Its 64 positive divisors give a proper-divisor sum of 56,188,808, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 19 × 103 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 104,832,000

Proper Divisor Sum 56,188,808

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #48643099 ← → #48643193

Radix Representation

Decimal	48643192
Binary	10111001100011110001111000 (26 bits)
Octal	0o271436170
Hexadecimal	0x2E63C78

Divisor Catalog (60 of 64)

1 2 4 8 13 19 26 38 52 76 103 104 152 206 239 247 412 478 494 824 956 988 1,339 1,912 1,957 1,976 2,678 3,107 3,914 4,541 5,356 6,214 7,828 9,082 10,712 12,428 15,656 18,164 24,617 24,856 25,441 36,328 49,234 50,882 59,033 98,468 101,764 118,066 196,936 203,528 236,132 320,021 467,723 472,264 640,042 935,446 1,280,084 1,870,892 2,560,168 3,741,784

Collatz Trajectory (168 steps to reach 1)

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

48,643,192 24,321,596 12,160,798 6,080,399 18,241,198 9,120,599 27,361,798 13,680,899 41,042,698 20,521,349 61,564,048 30,782,024 15,391,012 7,695,506 3,847,753 11,543,260 5,771,630 2,885,815 8,657,446 4,328,723 12,986,170 6,493,085 19,479,256 9,739,628 4,869,814 2,434,907 7,304,722 3,652,361 10,957,084 5,478,542 2,739,271 8,217,814 4,108,907 12,326,722 6,163,361 18,490,084 9,245,042 4,622,521 13,867,564 6,933,782 3,466,891 10,400,674 5,200,337 15,601,012 7,800,506 3,900,253 11,700,760 5,850,380 2,925,190 1,462,595 4,387,786 2,193,893 6,581,680 3,290,840 1,645,420 822,710 411,355 1,234,066 617,033 1,851,100

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