λ
Prime Ledger

8,014,780

22 × 5 × 400739
Abundant Even Composite

8,014,780 has the prime decomposition 2^2 × 5 × 400739. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 400739
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,831,080
Proper Divisor Sum 8,816,300
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8014777 ← → #8014793

Radix Representation

Decimal 8014780
Binary 11110100100101110111100 (23 bits)
Octal 0o36445674
Hexadecimal 0x7A4BBC

Divisor Catalog (12)

1 2 4 5 10 20 400,739 801,478 1,602,956 2,003,695 4,007,390 8,014,780

Collatz Trajectory (142 steps to reach 1)

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

8,014,780 4,007,390 2,003,695 6,011,086 3,005,543 9,016,630 4,508,315 13,524,946 6,762,473 20,287,420 10,143,710 5,071,855 15,215,566 7,607,783 22,823,350 11,411,675 34,235,026 17,117,513 51,352,540 25,676,270 12,838,135 38,514,406 19,257,203 57,771,610 28,885,805 86,657,416 43,328,708 21,664,354 10,832,177 32,496,532 16,248,266 8,124,133 24,372,400 12,186,200 6,093,100 3,046,550 1,523,275 4,569,826 2,284,913 6,854,740 3,427,370 1,713,685 5,141,056 2,570,528 1,285,264 642,632 321,316 160,658 80,329 240,988 120,494 60,247 180,742 90,371 271,114 135,557 406,672 203,336 101,668 50,834

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