6,972,502

2 × 37 × 59 × 1597

6,972,502 factors as 2 × 37 × 59 × 1597. Its 16 positive divisors give a proper-divisor sum of 3,957,818, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 37 × 59 × 1597

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,930,320

Proper Divisor Sum 3,957,818

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6972491 ← → #6972509

Radix Representation

Decimal	6972502
Binary	11010100110010001010110 (23 bits)
Octal	0o32462126
Hexadecimal	0x6A6456

Divisor Catalog (16)

1 2 37 59 74 118 1,597 2,183 3,194 4,366 59,089 94,223 118,178 188,446 3,486,251 6,972,502

Collatz Trajectory (98 steps to reach 1)

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

6,972,502 3,486,251 10,458,754 5,229,377 15,688,132 7,844,066 3,922,033 11,766,100 5,883,050 2,941,525 8,824,576 4,412,288 2,206,144 1,103,072 551,536 275,768 137,884 68,942 34,471 103,414 51,707 155,122 77,561 232,684 116,342 58,171 174,514 87,257 261,772 130,886 65,443 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229

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