8,677,089

3² × 17 × 56713

For 8,677,089, the 12 positive divisors have a total of 13,271,076. Removing 8,677,089 leaves 4,593,987, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 17 × 56713

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,271,076

Proper Divisor Sum 4,593,987

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8677079 ← → #8677121

Radix Representation

Decimal	8677089
Binary	100001000110011011100001 (24 bits)
Octal	0o41063341
Hexadecimal	0x8466E1

Divisor Catalog (12)

1 3 9 17 51 153 56,713 170,139 510,417 964,121 2,892,363 8,677,089

Collatz Trajectory (67 steps to reach 1)

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

8,677,089 26,031,268 13,015,634 6,507,817 19,523,452 9,761,726 4,880,863 14,642,590 7,321,295 21,963,886 10,981,943 32,945,830 16,472,915 49,418,746 24,709,373 74,128,120 37,064,060 18,532,030 9,266,015 27,798,046 13,899,023 41,697,070 20,848,535 62,545,606 31,272,803 93,818,410 46,909,205 140,727,616 70,363,808 35,181,904 17,590,952 8,795,476 4,397,738 2,198,869 6,596,608 3,298,304 1,649,152 824,576 412,288 206,144 103,072 51,536 25,768 12,884 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256

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