442,467

3² × 211 × 233

442,467 factors as 3^2 × 211 × 233. Its 12 positive divisors give a proper-divisor sum of 202,437, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 3^2 × 211 × 233

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 644,904

Proper Divisor Sum 202,437

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #442457 ← → #442469

Radix Representation

Decimal	442467
Binary	1101100000001100011 (19 bits)
Octal	0o1540143
Hexadecimal	0x6C063

Divisor Catalog (12)

1 3 9 211 233 633 699 1,899 2,097 49,163 147,489 442,467

Collatz Trajectory (94 steps to reach 1)

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

442,467 1,327,402 663,701 1,991,104 995,552 497,776 248,888 124,444 62,222 31,111 93,334 46,667 140,002 70,001 210,004 105,002 52,501 157,504 78,752 39,376 19,688 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472

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