4,218,052

2² × 67 × 15739

4,218,052 factors as 2^2 × 67 × 15739. Its 12 positive divisors give a proper-divisor sum of 3,274,188, so this integer is deficient. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 15739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,492,240

Proper Divisor Sum 3,274,188

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4218031 ← → #4218061

Radix Representation

Decimal	4218052
Binary	10000000101110011000100 (23 bits)
Octal	0o20056304
Hexadecimal	0x405CC4

Divisor Catalog (12)

1 2 4 67 134 268 15,739 31,478 62,956 1,054,513 2,109,026 4,218,052

Collatz Trajectory (273 steps to reach 1)

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

4,218,052 2,109,026 1,054,513 3,163,540 1,581,770 790,885 2,372,656 1,186,328 593,164 296,582 148,291 444,874 222,437 667,312 333,656 166,828 83,414 41,707 125,122 62,561 187,684 93,842 46,921 140,764 70,382 35,191 105,574 52,787 158,362 79,181 237,544 118,772 59,386 29,693 89,080 44,540 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541

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