λ
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Atlas › Integer Profiles › Node 8,048,685

8,048,685

3 × 5 × 19 × 31 × 911
Deficient Odd Composite

8,048,685 factors as 3 × 5 × 19 × 31 × 911. Its 32 positive divisors give a proper-divisor sum of 5,959,635, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 31 × 911
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,008,320
Proper Divisor Sum 5,959,635
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8048671 ← → #8048687

Radix Representation

Decimal 8048685
Binary 11110101101000000101101 (23 bits)
Octal 0o36550055
Hexadecimal 0x7AD02D

Divisor Catalog (32)

1 3 5 15 19 31 57 93 95 155 285 465 589 911 1,767 2,733 2,945 4,555 8,835 13,665 17,309 28,241 51,927 84,723 86,545 141,205 259,635 423,615 536,579 1,609,737 2,682,895 8,048,685

Collatz Trajectory (137 steps to reach 1)

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

8,048,685 24,146,056 12,073,028 6,036,514 3,018,257 9,054,772 4,527,386 2,263,693 6,791,080 3,395,540 1,697,770 848,885 2,546,656 1,273,328 636,664 318,332 159,166 79,583 238,750 119,375 358,126 179,063 537,190 268,595 805,786 402,893 1,208,680 604,340 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806 23,903 71,710 35,855 107,566 53,783 161,350 80,675 242,026 121,013 363,040 181,520 90,760 45,380 22,690 11,345 34,036 17,018 8,509

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