427,779

3² × 11 × 29 × 149

For 427,779, the 24 positive divisors have a total of 702,000. Removing 427,779 leaves 274,221, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 11 × 29 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 702,000

Proper Divisor Sum 274,221

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #427751 ← → #427781

Radix Representation

Decimal	427779
Binary	1101000011100000011 (19 bits)
Octal	0o1503403
Hexadecimal	0x68703

Divisor Catalog (24)

1 3 9 11 29 33 87 99 149 261 319 447 957 1,341 1,639 2,871 4,321 4,917 12,963 14,751 38,889 47,531 142,593 427,779

Collatz Trajectory (73 steps to reach 1)

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

427,779 1,283,338 641,669 1,925,008 962,504 481,252 240,626 120,313 360,940 180,470 90,235 270,706 135,353 406,060 203,030 101,515 304,546 152,273 456,820 228,410 114,205 342,616 171,308 85,654 42,827 128,482 64,241 192,724 96,362 48,181 144,544 72,272 36,136 18,068 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454

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