λ
Integer Codex

8,711,687

23 × 29 × 37 × 353
Deficient Odd Composite

For 8,711,687, the 16 positive divisors have a total of 9,685,440. Removing 8,711,687 leaves 973,753, which gives the deficient classification.

Prime Factor Structure

Factorization String 23 × 29 × 37 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,685,440
Proper Divisor Sum 973,753
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8711683 ← → #8711707

Radix Representation

Decimal 8711687
Binary 100001001110111000000111 (24 bits)
Octal 0o41167007
Hexadecimal 0x84EE07

Divisor Catalog (16)

1 23 29 37 353 667 851 1,073 8,119 10,237 13,061 24,679 235,451 300,403 378,769 8,711,687

Collatz Trajectory (119 steps to reach 1)

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

8,711,687 26,135,062 13,067,531 39,202,594 19,601,297 58,803,892 29,401,946 14,700,973 44,102,920 22,051,460 11,025,730 5,512,865 16,538,596 8,269,298 4,134,649 12,403,948 6,201,974 3,100,987 9,302,962 4,651,481 13,954,444 6,977,222 3,488,611 10,465,834 5,232,917 15,698,752 7,849,376 3,924,688 1,962,344 981,172 490,586 245,293 735,880 367,940 183,970 91,985 275,956 137,978 68,989 206,968 103,484 51,742 25,871 77,614 38,807 116,422 58,211 174,634 87,317 261,952 130,976 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535

More profiles

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