4,047,628

2² × 13 × 77839

4,047,628 has digital root 4. The neighboring primes are 4047623 and 4047629; its proper-divisor sum differs from the starting integer by -466,936.

Prime Factor Structure

Factorization String 2^2 × 13 × 77839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,628,320

Proper Divisor Sum 3,580,692

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4047623 ← → #4047629

Radix Representation

Decimal	4047628
Binary	1111011100001100001100 (22 bits)
Octal	0o17341414
Hexadecimal	0x3DC30C

Divisor Catalog (12)

1 2 4 13 26 52 77,839 155,678 311,356 1,011,907 2,023,814 4,047,628

Collatz Trajectory (84 steps to reach 1)

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

4,047,628 2,023,814 1,011,907 3,035,722 1,517,861 4,553,584 2,276,792 1,138,396 569,198 284,599 853,798 426,899 1,280,698 640,349 1,921,048 960,524 480,262 240,131 720,394 360,197 1,080,592 540,296 270,148 135,074 67,537 202,612 101,306 50,653 151,960 75,980 37,990 18,995 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684

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