λ
Prime Ledger

1,350,516

22 × 3 × 112543
Abundant Even Composite

1,350,516 has the prime decomposition 2^2 × 3 × 112543. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 112543
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,151,232
Proper Divisor Sum 1,800,716
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1350511 ← → #1350521

Radix Representation

Decimal 1350516
Binary 101001001101101110100 (21 bits)
Octal 0o5115564
Hexadecimal 0x149B74

Divisor Catalog (12)

1 2 3 4 6 12 112,543 225,086 337,629 450,172 675,258 1,350,516

Collatz Trajectory (85 steps to reach 1)

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

1,350,516 675,258 337,629 1,012,888 506,444 253,222 126,611 379,834 189,917 569,752 284,876 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584

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