λ
Zalai Atlas

8,678,123

89 × 281 × 347
Deficient Odd Composite

8,678,123 has the prime decomposition 89 × 281 × 347. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 89 × 281 × 347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,832,240
Proper Divisor Sum 154,117
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8678113 ← → #8678129

Radix Representation

Decimal 8678123
Binary 100001000110101011101011 (24 bits)
Octal 0o41065353
Hexadecimal 0x846AEB

Divisor Catalog (8)

1 89 281 347 25,009 30,883 97,507 8,678,123

Collatz Trajectory (243 steps to reach 1)

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

8,678,123 26,034,370 13,017,185 39,051,556 19,525,778 9,762,889 29,288,668 14,644,334 7,322,167 21,966,502 10,983,251 32,949,754 16,474,877 49,424,632 24,712,316 12,356,158 6,178,079 18,534,238 9,267,119 27,801,358 13,900,679 41,702,038 20,851,019 62,553,058 31,276,529 93,829,588 46,914,794 23,457,397 70,372,192 35,186,096 17,593,048 8,796,524 4,398,262 2,199,131 6,597,394 3,298,697 9,896,092 4,948,046 2,474,023 7,422,070 3,711,035 11,133,106 5,566,553 16,699,660 8,349,830 4,174,915 12,524,746 6,262,373 18,787,120 9,393,560 4,696,780 2,348,390 1,174,195 3,522,586 1,761,293 5,283,880 2,641,940 1,320,970 660,485 1,981,456

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