7,989,600

2⁵ × 3 × 5² × 3329

7,989,600 has the prime decomposition 2^5 × 3 × 5^2 × 3329. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 3329

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 26,013,960

Proper Divisor Sum 18,024,360

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7989593 ← → #7989601

Radix Representation

Decimal	7989600
Binary	11110011110100101100000 (23 bits)
Octal	0o36364540
Hexadecimal	0x79E960

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1,200 2,400 3,329 6,658 9,987 13,316 16,645 19,974 26,632 33,290 39,948 49,935 53,264 66,580 79,896 83,225 99,870 106,528 133,160 159,792 166,450 199,740 249,675 266,320 319,584 332,900

Collatz Trajectory (155 steps to reach 1)

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

7,989,600 3,994,800 1,997,400 998,700 499,350 249,675 749,026 374,513 1,123,540 561,770 280,885 842,656 421,328 210,664 105,332 52,666 26,333 79,000 39,500 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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