4,047,992

2³ × 13 × 38923

4,047,992 factors as 2^3 × 13 × 38923. Its 16 positive divisors give a proper-divisor sum of 4,126,048, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 38923

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,174,040

Proper Divisor Sum 4,126,048

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4047991 ← → #4047997

Radix Representation

Decimal	4047992
Binary	1111011100010001111000 (22 bits)
Octal	0o17342170
Hexadecimal	0x3DC478

Divisor Catalog (16)

1 2 4 8 13 26 52 104 38,923 77,846 155,692 311,384 505,999 1,011,998 2,023,996 4,047,992

Collatz Trajectory (167 steps to reach 1)

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

4,047,992 2,023,996 1,011,998 505,999 1,517,998 758,999 2,276,998 1,138,499 3,415,498 1,707,749 5,123,248 2,561,624 1,280,812 640,406 320,203 960,610 480,305 1,440,916 720,458 360,229 1,080,688 540,344 270,172 135,086 67,543 202,630 101,315 303,946 151,973 455,920 227,960 113,980 56,990 28,495 85,486 42,743 128,230 64,115 192,346 96,173 288,520 144,260 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061

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