463,165

5 × 17 × 5449

463,165 factors as 5 × 17 × 5449. Its 8 positive divisors give a proper-divisor sum of 125,435, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 5 × 17 × 5449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 588,600

Proper Divisor Sum 125,435

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #463157 ← → #463181

Radix Representation

Decimal	463165
Binary	1110001000100111101 (19 bits)
Octal	0o1610475
Hexadecimal	0x7113D

Divisor Catalog (8)

1 5 17 85 5,449 27,245 92,633 463,165

Collatz Trajectory (213 steps to reach 1)

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

463,165 1,389,496 694,748 347,374 173,687 521,062 260,531 781,594 390,797 1,172,392 586,196 293,098 146,549 439,648 219,824 109,912 54,956 27,478 13,739 41,218 20,609 61,828 30,914 15,457 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633

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