8,440,727

53 × 67 × 2377

For 8,440,727, the 8 positive divisors have a total of 8,732,016. Removing 8,440,727 leaves 291,289, which gives the deficient classification.

Prime Factor Structure

Factorization String 53 × 67 × 2377

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,732,016

Proper Divisor Sum 291,289

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8440703 ← → #8440739

Radix Representation

Decimal	8440727
Binary	100000001100101110010111 (24 bits)
Octal	0o40145627
Hexadecimal	0x80CB97

Divisor Catalog (8)

1 53 67 2,377 3,551 125,981 159,259 8,440,727

Collatz Trajectory (274 steps to reach 1)

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

8,440,727 25,322,182 12,661,091 37,983,274 18,991,637 56,974,912 28,487,456 14,243,728 7,121,864 3,560,932 1,780,466 890,233 2,670,700 1,335,350 667,675 2,003,026 1,001,513 3,004,540 1,502,270 751,135 2,253,406 1,126,703 3,380,110 1,690,055 5,070,166 2,535,083 7,605,250 3,802,625 11,407,876 5,703,938 2,851,969 8,555,908 4,277,954 2,138,977 6,416,932 3,208,466 1,604,233 4,812,700 2,406,350 1,203,175 3,609,526 1,804,763 5,414,290 2,707,145 8,121,436 4,060,718 2,030,359 6,091,078 3,045,539 9,136,618 4,568,309 13,704,928 6,852,464 3,426,232 1,713,116 856,558 428,279 1,284,838 642,419 1,927,258

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