463,813

7 × 173 × 383

Starting at 463,813, the Collatz iteration reaches 1 after 125 steps. The first transition is 1391440; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 173 × 383

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 534,528

Proper Divisor Sum 70,715

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #463807 ← → #463823

Radix Representation

Decimal	463813
Binary	1110001001111000101 (19 bits)
Octal	0o1611705
Hexadecimal	0x713C5

Divisor Catalog (8)

1 7 173 383 1,211 2,681 66,259 463,813

Collatz Trajectory (125 steps to reach 1)

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

463,813 1,391,440 695,720 347,860 173,930 86,965 260,896 130,448 65,224 32,612 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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