λ
Prime Ledger

1,359,736

23 × 7 × 24281
Abundant Even Composite

1,359,736 has the prime decomposition 2^3 × 7 × 24281. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 24281
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,913,840
Proper Divisor Sum 1,554,104
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1359733 ← → #1359739

Radix Representation

Decimal 1359736
Binary 101001011111101111000 (21 bits)
Octal 0o5137570
Hexadecimal 0x14BF78

Divisor Catalog (16)

1 2 4 7 8 14 28 56 24,281 48,562 97,124 169,967 194,248 339,934 679,868 1,359,736

Collatz Trajectory (62 steps to reach 1)

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

1,359,736 679,868 339,934 169,967 509,902 254,951 764,854 382,427 1,147,282 573,641 1,720,924 860,462 430,231 1,290,694 645,347 1,936,042 968,021 2,904,064 1,452,032 726,016 363,008 181,504 90,752 45,376 22,688 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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