463,353

3 × 11 × 19 × 739

463,353 factors as 3 × 11 × 19 × 739. Its 16 positive divisors give a proper-divisor sum of 247,047, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 3 × 11 × 19 × 739

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 710,400

Proper Divisor Sum 247,047

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #463343 ← → #463363

Radix Representation

Decimal	463353
Binary	1110001000111111001 (19 bits)
Octal	0o1610771
Hexadecimal	0x711F9

Divisor Catalog (16)

1 3 11 19 33 57 209 627 739 2,217 8,129 14,041 24,387 42,123 154,451 463,353

Collatz Trajectory (169 steps to reach 1)

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

463,353 1,390,060 695,030 347,515 1,042,546 521,273 1,563,820 781,910 390,955 1,172,866 586,433 1,759,300 879,650 439,825 1,319,476 659,738 329,869 989,608 494,804 247,402 123,701 371,104 185,552 92,776 46,388 23,194 11,597 34,792 17,396 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82

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