228,074

2 × 7 × 11 × 1481

228,074 factors as 2 × 7 × 11 × 1481. Its 16 positive divisors give a proper-divisor sum of 198,742, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 1481

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 426,816

Proper Divisor Sum 198,742

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #228061 ← → #228077

Radix Representation

Decimal	228074
Binary	110111101011101010 (18 bits)
Octal	0o675352
Hexadecimal	0x37AEA

Divisor Catalog (16)

1 2 7 11 14 22 77 154 1,481 2,962 10,367 16,291 20,734 32,582 114,037 228,074

Collatz Trajectory (168 steps to reach 1)

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

228,074 114,037 342,112 171,056 85,528 42,764 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687

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