λ
Integer Codex

8,745,815

5 × 13 × 197 × 683
Deficient Odd Composite

For 8,745,815, the 16 positive divisors have a total of 11,376,288. Removing 8,745,815 leaves 2,630,473, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 13 × 197 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,376,288
Proper Divisor Sum 2,630,473
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8745799 ← → #8745817

Radix Representation

Decimal 8745815
Binary 100001010111001101010111 (24 bits)
Octal 0o41271527
Hexadecimal 0x857357

Divisor Catalog (16)

1 5 13 65 197 683 985 2,561 3,415 8,879 12,805 44,395 134,551 672,755 1,749,163 8,745,815

Collatz Trajectory (150 steps to reach 1)

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

8,745,815 26,237,446 13,118,723 39,356,170 19,678,085 59,034,256 29,517,128 14,758,564 7,379,282 3,689,641 11,068,924 5,534,462 2,767,231 8,301,694 4,150,847 12,452,542 6,226,271 18,678,814 9,339,407 28,018,222 14,009,111 42,027,334 21,013,667 63,041,002 31,520,501 94,561,504 47,280,752 23,640,376 11,820,188 5,910,094 2,955,047 8,865,142 4,432,571 13,297,714 6,648,857 19,946,572 9,973,286 4,986,643 14,959,930 7,479,965 22,439,896 11,219,948 5,609,974 2,804,987 8,414,962 4,207,481 12,622,444 6,311,222 3,155,611 9,466,834 4,733,417 14,200,252 7,100,126 3,550,063 10,650,190 5,325,095 15,975,286 7,987,643 23,962,930 11,981,465

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