617,778

2 × 3² × 7 × 4903

617,778 factors as 2 × 3^2 × 7 × 4903. Its 24 positive divisors give a proper-divisor sum of 912,270, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 4903

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,530,048

Proper Divisor Sum 912,270

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #617777 ← → #617791

Radix Representation

Decimal	617778
Binary	10010110110100110010 (20 bits)
Octal	0o2266462
Hexadecimal	0x96D32

Divisor Catalog (24)

Collatz Trajectory (234 steps to reach 1)

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

617,778 308,889 926,668 463,334 231,667 695,002 347,501 1,042,504 521,252 260,626 130,313 390,940 195,470 97,735 293,206 146,603 439,810 219,905 659,716 329,858 164,929 494,788 247,394 123,697 371,092 185,546 92,773 278,320 139,160 69,580 34,790 17,395 52,186 26,093 78,280 39,140 19,570 9,785 29,356 14,678 7,339 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922

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