λ
Integer Codex

8,978,478

2 × 3 × 131 × 11423
Abundant Even Composite

For 8,978,478, the 16 positive divisors have a total of 18,095,616. Removing 8,978,478 leaves 9,117,138, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 131 × 11423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,095,616
Proper Divisor Sum 9,117,138
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #8978471 ← → #8978479

Radix Representation

Decimal 8978478
Binary 100010010000000000101110 (24 bits)
Octal 0o42200056
Hexadecimal 0x89002E

Divisor Catalog (16)

1 2 3 6 131 262 393 786 11,423 22,846 34,269 68,538 1,496,413 2,992,826 4,489,239 8,978,478

Collatz Trajectory (75 steps to reach 1)

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

8,978,478 4,489,239 13,467,718 6,733,859 20,201,578 10,100,789 30,302,368 15,151,184 7,575,592 3,787,796 1,893,898 946,949 2,840,848 1,420,424 710,212 355,106 177,553 532,660 266,330 133,165 399,496 199,748 99,874 49,937 149,812 74,906 37,453 112,360 56,180 28,090 14,045 42,136 21,068 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44

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