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16,460,608

26 × 311 × 827
Deficient Even Composite

16,460,608 factors as 2^6 × 311 × 827. Its 28 positive divisors give a proper-divisor sum of 16,348,064, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^6 × 311 × 827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 32,808,672
Proper Divisor Sum 16,348,064
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #16460599 ← → #16460611

Radix Representation

Decimal 16460608
Binary 111110110010101101000000 (24 bits)
Octal 0o76625500
Hexadecimal 0xFB2B40

Divisor Catalog (28)

1 2 4 8 16 32 64 311 622 827 1,244 1,654 2,488 3,308 4,976 6,616 9,952 13,232 19,904 26,464 52,928 257,197 514,394 1,028,788 2,057,576 4,115,152 8,230,304 16,460,608

Collatz Trajectory (107 steps to reach 1)

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

16,460,608 8,230,304 4,115,152 2,057,576 1,028,788 514,394 257,197 771,592 385,796 192,898 96,449 289,348 144,674 72,337 217,012 108,506 54,253 162,760 81,380 40,690 20,345 61,036 30,518 15,259 45,778 22,889 68,668 34,334 17,167 51,502 25,751 77,254 38,627 115,882 57,941 173,824 86,912 43,456 21,728 10,864 5,432 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906

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