8,093,248

2⁶ × 126457

8,093,248 factors as 2^6 × 126457. Its 14 positive divisors give a proper-divisor sum of 7,966,918, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^6 × 126457

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 16,060,166

Proper Divisor Sum 7,966,918

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8093237 ← → #8093249

Radix Representation

Decimal	8093248
Binary	11110110111111001000000 (23 bits)
Octal	0o36677100
Hexadecimal	0x7B7E40

Divisor Catalog (14)

1 2 4 8 16 32 64 126,457 252,914 505,828 1,011,656 2,023,312 4,046,624 8,093,248

Collatz Trajectory (124 steps to reach 1)

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

8,093,248 4,046,624 2,023,312 1,011,656 505,828 252,914 126,457 379,372 189,686 94,843 284,530 142,265 426,796 213,398 106,699 320,098 160,049 480,148 240,074 120,037 360,112 180,056 90,028 45,014 22,507 67,522 33,761 101,284 50,642 25,321 75,964 37,982 18,991 56,974 28,487 85,462 42,731 128,194 64,097 192,292 96,146 48,073 144,220 72,110 36,055 108,166 54,083 162,250 81,125 243,376 121,688 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340

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