616,301

7 × 17 × 5179

616,301 factors as 7 × 17 × 5179. Its 8 positive divisors give a proper-divisor sum of 129,619, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 7 × 17 × 5179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 745,920

Proper Divisor Sum 129,619

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #616289 ← → #616307

Radix Representation

Decimal	616301
Binary	10010110011101101101 (20 bits)
Octal	0o2263555
Hexadecimal	0x9676D

Divisor Catalog (8)

1 7 17 119 5,179 36,253 88,043 616,301

Collatz Trajectory (110 steps to reach 1)

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

616,301 1,848,904 924,452 462,226 231,113 693,340 346,670 173,335 520,006 260,003 780,010 390,005 1,170,016 585,008 292,504 146,252 73,126 36,563 109,690 54,845 164,536 82,268 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914

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