616,293

3² × 68477

616,293 factors as 3^2 × 68477. Its 6 positive divisors give a proper-divisor sum of 273,921, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3^2 × 68477

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 890,214

Proper Divisor Sum 273,921

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #616289 ← → #616307

Radix Representation

Decimal	616293
Binary	10010110011101100101 (20 bits)
Octal	0o2263545
Hexadecimal	0x96765

Divisor Catalog (6)

1 3 9 68,477 205,431 616,293

Collatz Trajectory (79 steps to reach 1)

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

616,293 1,848,880 924,440 462,220 231,110 115,555 346,666 173,333 520,000 260,000 130,000 65,000 32,500 16,250 8,125 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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