408,174

2 × 3 × 13 × 5233

408,174 factors as 2 × 3 × 13 × 5233. Its 16 positive divisors give a proper-divisor sum of 471,138, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 5233

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 879,312

Proper Divisor Sum 471,138

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #408173 ← → #408197

Radix Representation

Decimal	408174
Binary	1100011101001101110 (19 bits)
Octal	0o1435156
Hexadecimal	0x63A6E

Divisor Catalog (16)

1 2 3 6 13 26 39 78 5,233 10,466 15,699 31,398 68,029 136,058 204,087 408,174

Collatz Trajectory (117 steps to reach 1)

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

408,174 204,087 612,262 306,131 918,394 459,197 1,377,592 688,796 344,398 172,199 516,598 258,299 774,898 387,449 1,162,348 581,174 290,587 871,762 435,881 1,307,644 653,822 326,911 980,734 490,367 1,471,102 735,551 2,206,654 1,103,327 3,309,982 1,654,991 4,964,974 2,482,487 7,447,462 3,723,731 11,171,194 5,585,597 16,756,792 8,378,396 4,189,198 2,094,599 6,283,798 3,141,899 9,425,698 4,712,849 14,138,548 7,069,274 3,534,637 10,603,912 5,301,956 2,650,978 1,325,489 3,976,468 1,988,234 994,117 2,982,352 1,491,176 745,588 372,794 186,397 559,192

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