8,627,500

2² × 5⁴ × 7 × 17 × 29

8,627,500 is even and not a perfect square. Its factorization is 2^2 × 5^4 × 7 × 17 × 29 and its 120 divisors sum to 23,617,440.

Prime Factor Structure

Factorization String 2^2 × 5^4 × 7 × 17 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 23,617,440

Proper Divisor Sum 14,989,940

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8627497 ← → #8627503

Radix Representation

Decimal	8627500
Binary	100000111010010100101100 (24 bits)
Octal	0o40722454
Hexadecimal	0x83A52C

Divisor Catalog (60 of 120)

1 2 4 5 7 10 14 17 20 25 28 29 34 35 50 58 68 70 85 100 116 119 125 140 145 170 175 203 238 250 290 340 350 406 425 476 493 500 580 595 625 700 725 812 850 875 986 1,015 1,190 1,250 1,450 1,700 1,750 1,972 2,030 2,125 2,380 2,465 2,500 2,900

Collatz Trajectory (106 steps to reach 1)

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

8,627,500 4,313,750 2,156,875 6,470,626 3,235,313 9,705,940 4,852,970 2,426,485 7,279,456 3,639,728 1,819,864 909,932 454,966 227,483 682,450 341,225 1,023,676 511,838 255,919 767,758 383,879 1,151,638 575,819 1,727,458 863,729 2,591,188 1,295,594 647,797 1,943,392 971,696 485,848 242,924 121,462 60,731 182,194 91,097 273,292 136,646 68,323 204,970 102,485 307,456 153,728 76,864 38,432 19,216 9,608 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254

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