442,437

3 × 139 × 1061

442,437 factors as 3 × 139 × 1061. Its 8 positive divisors give a proper-divisor sum of 152,283, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 3 × 139 × 1061

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 594,720

Proper Divisor Sum 152,283

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #442399 ← → #442439

Radix Representation

Decimal	442437
Binary	1101100000001000101 (19 bits)
Octal	0o1540105
Hexadecimal	0x6C045

Divisor Catalog (8)

1 3 139 417 1,061 3,183 147,479 442,437

Collatz Trajectory (94 steps to reach 1)

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

442,437 1,327,312 663,656 331,828 165,914 82,957 248,872 124,436 62,218 31,109 93,328 46,664 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 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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