6,488,048

2⁴ × 7 × 53 × 1093

6,488,048 factors as 2^4 × 7 × 53 × 1093. Its 40 positive divisors give a proper-divisor sum of 8,162,800, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 53 × 1093

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 14,650,848

Proper Divisor Sum 8,162,800

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6488023 ← → #6488071

Radix Representation

Decimal	6488048
Binary	11000101111111111110000 (23 bits)
Octal	0o30577760
Hexadecimal	0x62FFF0

Divisor Catalog (40)

Collatz Trajectory (227 steps to reach 1)

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

6,488,048 3,244,024 1,622,012 811,006 405,503 1,216,510 608,255 1,824,766 912,383 2,737,150 1,368,575 4,105,726 2,052,863 6,158,590 3,079,295 9,237,886 4,618,943 13,856,830 6,928,415 20,785,246 10,392,623 31,177,870 15,588,935 46,766,806 23,383,403 70,150,210 35,075,105 105,225,316 52,612,658 26,306,329 78,918,988 39,459,494 19,729,747 59,189,242 29,594,621 88,783,864 44,391,932 22,195,966 11,097,983 33,293,950 16,646,975 49,940,926 24,970,463 74,911,390 37,455,695 112,367,086 56,183,543 168,550,630 84,275,315 252,825,946 126,412,973 379,238,920 189,619,460 94,809,730 47,404,865 142,214,596 71,107,298 35,553,649 106,660,948 53,330,474

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