427,278

2 × 3 × 17 × 59 × 71

427,278 has digital root 3. The neighboring primes are 427249 and 427279; its proper-divisor sum differs from the starting integer by 78,564.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 59 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 933,120

Proper Divisor Sum 505,842

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #427249 ← → #427279

Radix Representation

Decimal	427278
Binary	1101000010100001110 (19 bits)
Octal	0o1502416
Hexadecimal	0x6850E

Divisor Catalog (32)

1 2 3 6 17 34 51 59 71 102 118 142 177 213 354 426 1,003 1,207 2,006 2,414 3,009 3,621 4,189 6,018 7,242 8,378 12,567 25,134 71,213 142,426 213,639 427,278

Collatz Trajectory (73 steps to reach 1)

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

427,278 213,639 640,918 320,459 961,378 480,689 1,442,068 721,034 360,517 1,081,552 540,776 270,388 135,194 67,597 202,792 101,396 50,698 25,349 76,048 38,024 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 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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