4,201,420

2² × 5 × 210071

4,201,420 factors as 2^2 × 5 × 210071. Its 12 positive divisors give a proper-divisor sum of 4,621,604, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 210071

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,823,024

Proper Divisor Sum 4,621,604

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #4201409 ← → #4201429

Radix Representation

Decimal	4201420
Binary	10000000001101111001100 (23 bits)
Octal	0o20015714
Hexadecimal	0x401BCC

Divisor Catalog (12)

1 2 4 5 10 20 210,071 420,142 840,284 1,050,355 2,100,710 4,201,420

Collatz Trajectory (136 steps to reach 1)

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

4,201,420 2,100,710 1,050,355 3,151,066 1,575,533 4,726,600 2,363,300 1,181,650 590,825 1,772,476 886,238 443,119 1,329,358 664,679 1,994,038 997,019 2,991,058 1,495,529 4,486,588 2,243,294 1,121,647 3,364,942 1,682,471 5,047,414 2,523,707 7,571,122 3,785,561 11,356,684 5,678,342 2,839,171 8,517,514 4,258,757 12,776,272 6,388,136 3,194,068 1,597,034 798,517 2,395,552 1,197,776 598,888 299,444 149,722 74,861 224,584 112,292 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595 319,786 159,893

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