450,463

13 × 34651

450,463 factors as 13 × 34651. Its 4 positive divisors give a proper-divisor sum of 34,665, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 13 × 34651

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 485,128

Proper Divisor Sum 34,665

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #450451 ← → #450473

Radix Representation

Decimal	450463
Binary	1101101111110011111 (19 bits)
Octal	0o1557637
Hexadecimal	0x6DF9F

Divisor Catalog (4)

1 13 34,651 450,463

Collatz Trajectory (143 steps to reach 1)

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

450,463 1,351,390 675,695 2,027,086 1,013,543 3,040,630 1,520,315 4,560,946 2,280,473 6,841,420 3,420,710 1,710,355 5,131,066 2,565,533 7,696,600 3,848,300 1,924,150 962,075 2,886,226 1,443,113 4,329,340 2,164,670 1,082,335 3,247,006 1,623,503 4,870,510 2,435,255 7,305,766 3,652,883 10,958,650 5,479,325 16,437,976 8,218,988 4,109,494 2,054,747 6,164,242 3,082,121 9,246,364 4,623,182 2,311,591 6,934,774 3,467,387 10,402,162 5,201,081 15,603,244 7,801,622 3,900,811 11,702,434 5,851,217 17,553,652 8,776,826 4,388,413 13,165,240 6,582,620 3,291,310 1,645,655 4,936,966 2,468,483 7,405,450 3,702,725

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