4,680,210

2 × 3 × 5 × 156007

4,680,210 factors as 2 × 3 × 5 × 156007. Its 16 positive divisors give a proper-divisor sum of 6,552,366, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 156007

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,232,576

Proper Divisor Sum 6,552,366

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4680199 ← → #4680211

Radix Representation

Decimal	4680210
Binary	10001110110101000010010 (23 bits)
Octal	0o21665022
Hexadecimal	0x476A12

Divisor Catalog (16)

1 2 3 5 6 10 15 30 156,007 312,014 468,021 780,035 936,042 1,560,070 2,340,105 4,680,210

Collatz Trajectory (149 steps to reach 1)

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

4,680,210 2,340,105 7,020,316 3,510,158 1,755,079 5,265,238 2,632,619 7,897,858 3,948,929 11,846,788 5,923,394 2,961,697 8,885,092 4,442,546 2,221,273 6,663,820 3,331,910 1,665,955 4,997,866 2,498,933 7,496,800 3,748,400 1,874,200 937,100 468,550 234,275 702,826 351,413 1,054,240 527,120 263,560 131,780 65,890 32,945 98,836 49,418 24,709 74,128 37,064 18,532 9,266 4,633 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826

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