λ
Prime Ledger

5,001,478

2 × 31 × 80669
Deficient Even Composite

5,001,478 has the prime decomposition 2 × 31 × 80669. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 80669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,744,320
Proper Divisor Sum 2,742,842
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5001461 ← → #5001481

Radix Representation

Decimal 5001478
Binary 10011000101000100000110 (23 bits)
Octal 0o23050406
Hexadecimal 0x4C5106

Divisor Catalog (8)

1 2 31 62 80,669 161,338 2,500,739 5,001,478

Collatz Trajectory (56 steps to reach 1)

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

5,001,478 2,500,739 7,502,218 3,751,109 11,253,328 5,626,664 2,813,332 1,406,666 703,333 2,110,000 1,055,000 527,500 263,750 131,875 395,626 197,813 593,440 296,720 148,360 74,180 37,090 18,545 55,636 27,818 13,909 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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