473,231

11² × 3911

473,231 factors as 11^2 × 3911. Its 6 positive divisors give a proper-divisor sum of 47,065, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 11^2 × 3911

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 520,296

Proper Divisor Sum 47,065

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #473227 ← → #473257

Radix Representation

Decimal	473231
Binary	1110011100010001111 (19 bits)
Octal	0o1634217
Hexadecimal	0x7388F

Divisor Catalog (6)

1 11 121 3,911 43,021 473,231

Collatz Trajectory (213 steps to reach 1)

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

473,231 1,419,694 709,847 2,129,542 1,064,771 3,194,314 1,597,157 4,791,472 2,395,736 1,197,868 598,934 299,467 898,402 449,201 1,347,604 673,802 336,901 1,010,704 505,352 252,676 126,338 63,169 189,508 94,754 47,377 142,132 71,066 35,533 106,600 53,300 26,650 13,325 39,976 19,988 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007

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