λ
Ratio Atlas

4,210,620

22 × 3 × 5 × 70177
Abundant Even Composite

4,210,620 factors as 2^2 × 3 × 5 × 70177. Its 24 positive divisors give a proper-divisor sum of 7,579,284, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 70177
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,789,904
Proper Divisor Sum 7,579,284
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4210607 ← → #4210627

Radix Representation

Decimal 4210620
Binary 10000000011111110111100 (23 bits)
Octal 0o20037674
Hexadecimal 0x403FBC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 70,177 140,354 210,531 280,708 350,885 421,062 701,770 842,124 1,052,655 1,403,540 2,105,310 4,210,620

Collatz Trajectory (128 steps to reach 1)

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

4,210,620 2,105,310 1,052,655 3,157,966 1,578,983 4,736,950 2,368,475 7,105,426 3,552,713 10,658,140 5,329,070 2,664,535 7,993,606 3,996,803 11,990,410 5,995,205 17,985,616 8,992,808 4,496,404 2,248,202 1,124,101 3,372,304 1,686,152 843,076 421,538 210,769 632,308 316,154 158,077 474,232 237,116 118,558 59,279 177,838 88,919 266,758 133,379 400,138 200,069 600,208 300,104 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244

More profiles

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