274,008

2³ × 3 × 7² × 233

274,008 has digital root 3. The neighboring primes are 274007 and 274019; its proper-divisor sum differs from the starting integer by 252,264.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 800,280

Proper Divisor Sum 526,272

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #274007 ← → #274019

Radix Representation

Decimal	274008
Binary	1000010111001011000 (19 bits)
Octal	0o1027130
Hexadecimal	0x42E58

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 233 294 392 466 588 699 932 1,176 1,398 1,631 1,864 2,796 3,262 4,893 5,592 6,524 9,786 11,417 13,048 19,572 22,834 34,251 39,144 45,668 68,502 91,336 137,004 274,008

Collatz Trajectory (57 steps to reach 1)

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

274,008 137,004 68,502 34,251 102,754 51,377 154,132 77,066 38,533 115,600 57,800 28,900 14,450 7,225 21,676 10,838 5,419 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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