λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,902,192

8,902,192

24 × 13 × 127 × 337
Abundant Even Composite

8,902,192 factors as 2^4 × 13 × 127 × 337. Its 40 positive divisors give a proper-divisor sum of 9,874,384, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 127 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,776,576
Proper Divisor Sum 9,874,384
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8902189 ← → #8902199

Radix Representation

Decimal 8902192
Binary 100001111101011000110000 (24 bits)
Octal 0o41753060
Hexadecimal 0x87D630

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 127 208 254 337 508 674 1,016 1,348 1,651 2,032 2,696 3,302 4,381 5,392 6,604 8,762 13,208 17,524 26,416 35,048 42,799 70,096 85,598 171,196 342,392 556,387 684,784 1,112,774 2,225,548 4,451,096 8,902,192

Collatz Trajectory (93 steps to reach 1)

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

8,902,192 4,451,096 2,225,548 1,112,774 556,387 1,669,162 834,581 2,503,744 1,251,872 625,936 312,968 156,484 78,242 39,121 117,364 58,682 29,341 88,024 44,012 22,006 11,003 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,902,191 Browse Full Index Next Integer #8,902,193 →