λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,002,772

7,002,772

22 × 7 × 383 × 653
Abundant Even Composite

7,002,772 factors as 2^2 × 7 × 383 × 653. Its 24 positive divisors give a proper-divisor sum of 7,060,844, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 383 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,063,616
Proper Divisor Sum 7,060,844
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7002733 ← → #7002781

Radix Representation

Decimal 7002772
Binary 11010101101101010010100 (23 bits)
Octal 0o32555224
Hexadecimal 0x6ADA94

Divisor Catalog (24)

1 2 4 7 14 28 383 653 766 1,306 1,532 2,612 2,681 4,571 5,362 9,142 10,724 18,284 250,099 500,198 1,000,396 1,750,693 3,501,386 7,002,772

Collatz Trajectory (253 steps to reach 1)

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

7,002,772 3,501,386 1,750,693 5,252,080 2,626,040 1,313,020 656,510 328,255 984,766 492,383 1,477,150 738,575 2,215,726 1,107,863 3,323,590 1,661,795 4,985,386 2,492,693 7,478,080 3,739,040 1,869,520 934,760 467,380 233,690 116,845 350,536 175,268 87,634 43,817 131,452 65,726 32,863 98,590 49,295 147,886 73,943 221,830 110,915 332,746 166,373 499,120 249,560 124,780 62,390 31,195 93,586 46,793 140,380 70,190 35,095 105,286 52,643 157,930 78,965 236,896 118,448 59,224 29,612 14,806 7,403

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