618,387

3 × 7 × 11 × 2677

618,387 factors as 3 × 7 × 11 × 2677. Its 16 positive divisors give a proper-divisor sum of 409,965, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 2677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,028,352

Proper Divisor Sum 409,965

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #618377 ← → #618407

Radix Representation

Decimal	618387
Binary	10010110111110010011 (20 bits)
Octal	0o2267623
Hexadecimal	0x96F93

Divisor Catalog (16)

1 3 7 11 21 33 77 231 2,677 8,031 18,739 29,447 56,217 88,341 206,129 618,387

Collatz Trajectory (172 steps to reach 1)

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

618,387 1,855,162 927,581 2,782,744 1,391,372 695,686 347,843 1,043,530 521,765 1,565,296 782,648 391,324 195,662 97,831 293,494 146,747 440,242 220,121 660,364 330,182 165,091 495,274 247,637 742,912 371,456 185,728 92,864 46,432 23,216 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110

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