4,029,724

2² × 29 × 34739

4,029,724 factors as 2^2 × 29 × 34739. Its 12 positive divisors give a proper-divisor sum of 3,265,676, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 34739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,295,400

Proper Divisor Sum 3,265,676

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4029709 ← → #4029757

Radix Representation

Decimal	4029724
Binary	1111010111110100011100 (22 bits)
Octal	0o17276434
Hexadecimal	0x3D7D1C

Divisor Catalog (12)

1 2 4 29 58 116 34,739 69,478 138,956 1,007,431 2,014,862 4,029,724

Collatz Trajectory (185 steps to reach 1)

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

4,029,724 2,014,862 1,007,431 3,022,294 1,511,147 4,533,442 2,266,721 6,800,164 3,400,082 1,700,041 5,100,124 2,550,062 1,275,031 3,825,094 1,912,547 5,737,642 2,868,821 8,606,464 4,303,232 2,151,616 1,075,808 537,904 268,952 134,476 67,238 33,619 100,858 50,429 151,288 75,644 37,822 18,911 56,734 28,367 85,102 42,551 127,654 63,827 191,482 95,741 287,224 143,612 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364

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