λ
Prime Ledger

7,087,446

2 × 33 × 131249
Abundant Even Composite

7,087,446 has the prime decomposition 2 × 3^3 × 131249. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 131249
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,750,000
Proper Divisor Sum 8,662,554
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7087439 ← → #7087481

Radix Representation

Decimal 7087446
Binary 11011000010010101010110 (23 bits)
Octal 0o33022526
Hexadecimal 0x6C2556

Divisor Catalog (16)

1 2 3 6 9 18 27 54 131,249 262,498 393,747 787,494 1,181,241 2,362,482 3,543,723 7,087,446

Collatz Trajectory (235 steps to reach 1)

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

7,087,446 3,543,723 10,631,170 5,315,585 15,946,756 7,973,378 3,986,689 11,960,068 5,980,034 2,990,017 8,970,052 4,485,026 2,242,513 6,727,540 3,363,770 1,681,885 5,045,656 2,522,828 1,261,414 630,707 1,892,122 946,061 2,838,184 1,419,092 709,546 354,773 1,064,320 532,160 266,080 133,040 66,520 33,260 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496

More profiles

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