7,502,782

2 × 7³ × 10937

7,502,782 factors as 2 × 7^3 × 10937. Its 16 positive divisors give a proper-divisor sum of 5,622,818, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 10937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,125,600

Proper Divisor Sum 5,622,818

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7502771 ← → #7502791

Radix Representation

Decimal	7502782
Binary	11100100111101110111110 (23 bits)
Octal	0o34475676
Hexadecimal	0x727BBE

Divisor Catalog (16)

1 2 7 14 49 98 343 686 10,937 21,874 76,559 153,118 535,913 1,071,826 3,751,391 7,502,782

Collatz Trajectory (173 steps to reach 1)

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

7,502,782 3,751,391 11,254,174 5,627,087 16,881,262 8,440,631 25,321,894 12,660,947 37,982,842 18,991,421 56,974,264 28,487,132 14,243,566 7,121,783 21,365,350 10,682,675 32,048,026 16,024,013 48,072,040 24,036,020 12,018,010 6,009,005 18,027,016 9,013,508 4,506,754 2,253,377 6,760,132 3,380,066 1,690,033 5,070,100 2,535,050 1,267,525 3,802,576 1,901,288 950,644 475,322 237,661 712,984 356,492 178,246 89,123 267,370 133,685 401,056 200,528 100,264 50,132 25,066 12,533 37,600 18,800 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936

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