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Atlas › Integer Profiles › Node 17,513,847

17,513,847

33 × 13 × 41 × 1217
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 13 × 41 × 1217
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,647,360
Proper Divisor Sum 11,133,513
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17513843 ← → #17513849

Radix Representation

Decimal 17513847
Binary 1000010110011110101110111 (25 bits)
Octal 0o102636567
Hexadecimal 0x10B3D77

Divisor Catalog (32)

1 3 9 13 27 39 41 117 123 351 369 533 1,107 1,217 1,599 3,651 4,797 10,953 14,391 15,821 32,859 47,463 49,897 142,389 149,691 427,167 449,073 648,661 1,347,219 1,945,983 5,837,949 17,513,847

Collatz Trajectory (319 steps to reach 1)

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

17,513,847 52,541,542 26,270,771 78,812,314 39,406,157 118,218,472 59,109,236 29,554,618 14,777,309 44,331,928 22,165,964 11,082,982 5,541,491 16,624,474 8,312,237 24,936,712 12,468,356 6,234,178 3,117,089 9,351,268 4,675,634 2,337,817 7,013,452 3,506,726 1,753,363 5,260,090 2,630,045 7,890,136 3,945,068 1,972,534 986,267 2,958,802 1,479,401 4,438,204 2,219,102 1,109,551 3,328,654 1,664,327 4,992,982 2,496,491 7,489,474 3,744,737 11,234,212 5,617,106 2,808,553 8,425,660 4,212,830 2,106,415 6,319,246 3,159,623 9,478,870 4,739,435 14,218,306 7,109,153 21,327,460 10,663,730 5,331,865 15,995,596 7,997,798 3,998,899

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