427,920

2⁴ × 3 × 5 × 1783

The decimal integer 427,920 is 1101000011110010000 in binary (19 bits), 1503620 in octal and 68790 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 1783

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,327,296

Proper Divisor Sum 899,376

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #427919 ← → #427939

Radix Representation

Decimal	427920
Binary	1101000011110010000 (19 bits)
Octal	0o1503620
Hexadecimal	0x68790

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1,783 3,566 5,349 7,132 8,915 10,698 14,264 17,830 21,396 26,745 28,528 35,660 42,792 53,490 71,320 85,584 106,980 142,640 213,960 427,920

Collatz Trajectory (125 steps to reach 1)

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

427,920 213,960 106,980 53,490 26,745 80,236 40,118 20,059 60,178 30,089 90,268 45,134 22,567 67,702 33,851 101,554 50,777 152,332 76,166 38,083 114,250 57,125 171,376 85,688 42,844 21,422 10,711 32,134 16,067 48,202 24,101 72,304 36,152 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717

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