λ
Integer Codex

8,704,503

35 × 113 × 317
Deficient Odd Composite

For 8,704,503, the 24 positive divisors have a total of 13,195,728. Removing 8,704,503 leaves 4,491,225, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^5 × 113 × 317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,195,728
Proper Divisor Sum 4,491,225
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8704499 ← → #8704513

Radix Representation

Decimal 8704503
Binary 100001001101000111110111 (24 bits)
Octal 0o41150767
Hexadecimal 0x84D1F7

Divisor Catalog (24)

1 3 9 27 81 113 243 317 339 951 1,017 2,853 3,051 8,559 9,153 25,677 27,459 35,821 77,031 107,463 322,389 967,167 2,901,501 8,704,503

Collatz Trajectory (212 steps to reach 1)

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

8,704,503 26,113,510 13,056,755 39,170,266 19,585,133 58,755,400 29,377,700 14,688,850 7,344,425 22,033,276 11,016,638 5,508,319 16,524,958 8,262,479 24,787,438 12,393,719 37,181,158 18,590,579 55,771,738 27,885,869 83,657,608 41,828,804 20,914,402 10,457,201 31,371,604 15,685,802 7,842,901 23,528,704 11,764,352 5,882,176 2,941,088 1,470,544 735,272 367,636 183,818 91,909 275,728 137,864 68,932 34,466 17,233 51,700 25,850 12,925 38,776 19,388 9,694 4,847 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222

More profiles

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