5,008,624

2⁴ × 71 × 4409

5,008,624 has digital root 7. The neighboring primes are 5008607 and 5008657; its proper-divisor sum differs from the starting integer by -174,128.

Prime Factor Structure

Factorization String 2^4 × 71 × 4409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,843,120

Proper Divisor Sum 4,834,496

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5008607 ← → #5008657

Radix Representation

Decimal	5008624
Binary	10011000110110011110000 (23 bits)
Octal	0o23066360
Hexadecimal	0x4C6CF0

Divisor Catalog (20)

1 2 4 8 16 71 142 284 568 1,136 4,409 8,818 17,636 35,272 70,544 313,039 626,078 1,252,156 2,504,312 5,008,624

Collatz Trajectory (87 steps to reach 1)

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

5,008,624 2,504,312 1,252,156 626,078 313,039 939,118 469,559 1,408,678 704,339 2,113,018 1,056,509 3,169,528 1,584,764 792,382 396,191 1,188,574 594,287 1,782,862 891,431 2,674,294 1,337,147 4,011,442 2,005,721 6,017,164 3,008,582 1,504,291 4,512,874 2,256,437 6,769,312 3,384,656 1,692,328 846,164 423,082 211,541 634,624 317,312 158,656 79,328 39,664 19,832 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883

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