8,484,628

2² × 47 × 45131

8,484,628 has digital root 4. The neighboring primes are 8484601 and 8484661; its proper-divisor sum differs from the starting integer by -1,804,904.

Prime Factor Structure

Factorization String 2^2 × 47 × 45131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,164,352

Proper Divisor Sum 6,679,724

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8484601 ← → #8484661

Radix Representation

Decimal	8484628
Binary	100000010111011100010100 (24 bits)
Octal	0o40273424
Hexadecimal	0x817714

Divisor Catalog (12)

1 2 4 47 94 188 45,131 90,262 180,524 2,121,157 4,242,314 8,484,628

Collatz Trajectory (75 steps to reach 1)

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

8,484,628 4,242,314 2,121,157 6,363,472 3,181,736 1,590,868 795,434 397,717 1,193,152 596,576 298,288 149,144 74,572 37,286 18,643 55,930 27,965 83,896 41,948 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7

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