λ
Integer Codex

8,767,315

5 × 137 × 12799
Deficient Odd Composite

For 8,767,315, the 8 positive divisors have a total of 10,598,400. Removing 8,767,315 leaves 1,831,085, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 137 × 12799
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,598,400
Proper Divisor Sum 1,831,085
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8767289 ← → #8767321

Radix Representation

Decimal 8767315
Binary 100001011100011101010011 (24 bits)
Octal 0o41343523
Hexadecimal 0x85C753

Divisor Catalog (8)

1 5 137 685 12,799 63,995 1,753,463 8,767,315

Collatz Trajectory (318 steps to reach 1)

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

8,767,315 26,301,946 13,150,973 39,452,920 19,726,460 9,863,230 4,931,615 14,794,846 7,397,423 22,192,270 11,096,135 33,288,406 16,644,203 49,932,610 24,966,305 74,898,916 37,449,458 18,724,729 56,174,188 28,087,094 14,043,547 42,130,642 21,065,321 63,195,964 31,597,982 15,798,991 47,396,974 23,698,487 71,095,462 35,547,731 106,643,194 53,321,597 159,964,792 79,982,396 39,991,198 19,995,599 59,986,798 29,993,399 89,980,198 44,990,099 134,970,298 67,485,149 202,455,448 101,227,724 50,613,862 25,306,931 75,920,794 37,960,397 113,881,192 56,940,596 28,470,298 14,235,149 42,705,448 21,352,724 10,676,362 5,338,181 16,014,544 8,007,272 4,003,636 2,001,818

More profiles

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