7,000,000

2⁶ × 5⁶ × 7

7,000,000 factors as 2^6 × 5^6 × 7. Its 98 positive divisors give a proper-divisor sum of 12,843,496, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^6 × 5^6 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 98

Divisor Sum (σ) 19,843,496

Proper Divisor Sum 12,843,496

Digit Sum / Digital Root 7 (Root: 7)

Adjacent Primes #6999997 ← → #7000003

Radix Representation

Decimal	7000000
Binary	11010101100111111000000 (23 bits)
Octal	0o32547700
Hexadecimal	0x6ACFC0

Divisor Catalog (60 of 98)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1,000 1,120 1,250 1,400 1,600 1,750 2,000 2,240 2,500 2,800 3,125 3,500 4,000 4,375 5,000 5,600 6,250 7,000 8,000 8,750

Collatz Trajectory (152 steps to reach 1)

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

7,000,000 3,500,000 1,750,000 875,000 437,500 218,750 109,375 328,126 164,063 492,190 246,095 738,286 369,143 1,107,430 553,715 1,661,146 830,573 2,491,720 1,245,860 622,930 311,465 934,396 467,198 233,599 700,798 350,399 1,051,198 525,599 1,576,798 788,399 2,365,198 1,182,599 3,547,798 1,773,899 5,321,698 2,660,849 7,982,548 3,991,274 1,995,637 5,986,912 2,993,456 1,496,728 748,364 374,182 187,091 561,274 280,637 841,912 420,956 210,478 105,239 315,718 157,859 473,578 236,789 710,368 355,184 177,592 88,796 44,398

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