8,306,241

3 × 37 × 74831

8,306,241 factors as 3 × 37 × 74831. Its 8 positive divisors give a proper-divisor sum of 3,068,223, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3 × 37 × 74831

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,374,464

Proper Divisor Sum 3,068,223

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8306237 ← → #8306261

Radix Representation

Decimal	8306241
Binary	11111101011111001000001 (23 bits)
Octal	0o37537101
Hexadecimal	0x7EBE41

Divisor Catalog (8)

1 3 37 111 74,831 224,493 2,768,747 8,306,241

Collatz Trajectory (168 steps to reach 1)

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

8,306,241 24,918,724 12,459,362 6,229,681 18,689,044 9,344,522 4,672,261 14,016,784 7,008,392 3,504,196 1,752,098 876,049 2,628,148 1,314,074 657,037 1,971,112 985,556 492,778 246,389 739,168 369,584 184,792 92,396 46,198 23,099 69,298 34,649 103,948 51,974 25,987 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

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