λ
Prime Ledger

8,674,608

24 × 3 × 127 × 1423
Abundant Even Composite

8,674,608 has the prime decomposition 2^4 × 3 × 127 × 1423. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 127 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,601,728
Proper Divisor Sum 13,927,120
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8674577 ← → #8674619

Radix Representation

Decimal 8674608
Binary 100001000101110100110000 (24 bits)
Octal 0o41056460
Hexadecimal 0x845D30

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 1,016 1,423 1,524 2,032 2,846 3,048 4,269 5,692 6,096 8,538 11,384 17,076 22,768 34,152 68,304 180,721 361,442 542,163 722,884 1,084,326 1,445,768 2,168,652 2,891,536 4,337,304 8,674,608

Collatz Trajectory (168 steps to reach 1)

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

8,674,608 4,337,304 2,168,652 1,084,326 542,163 1,626,490 813,245 2,439,736 1,219,868 609,934 304,967 914,902 457,451 1,372,354 686,177 2,058,532 1,029,266 514,633 1,543,900 771,950 385,975 1,157,926 578,963 1,736,890 868,445 2,605,336 1,302,668 651,334 325,667 977,002 488,501 1,465,504 732,752 366,376 183,188 91,594 45,797 137,392 68,696 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173

More profiles

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