7,502,002

2 × 23 × 71 × 2297

7,502,002 factors as 2 × 23 × 71 × 2297. Its 16 positive divisors give a proper-divisor sum of 4,410,830, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 23 × 71 × 2297

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,912,832

Proper Divisor Sum 4,410,830

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #7501997 ← → #7502003

Radix Representation

Decimal	7502002
Binary	11100100111100010110010 (23 bits)
Octal	0o34474262
Hexadecimal	0x7278B2

Divisor Catalog (16)

1 2 23 46 71 142 1,633 2,297 3,266 4,594 52,831 105,662 163,087 326,174 3,751,001 7,502,002

Collatz Trajectory (173 steps to reach 1)

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

7,502,002 3,751,001 11,253,004 5,626,502 2,813,251 8,439,754 4,219,877 12,659,632 6,329,816 3,164,908 1,582,454 791,227 2,373,682 1,186,841 3,560,524 1,780,262 890,131 2,670,394 1,335,197 4,005,592 2,002,796 1,001,398 500,699 1,502,098 751,049 2,253,148 1,126,574 563,287 1,689,862 844,931 2,534,794 1,267,397 3,802,192 1,901,096 950,548 475,274 237,637 712,912 356,456 178,228 89,114 44,557 133,672 66,836 33,418 16,709 50,128 25,064 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936

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