λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,960,424

80,960,424

23 × 3 × 137 × 24623
Abundant Even Composite

80,960,424 factors as 2^3 × 3 × 137 × 24623. Its 32 positive divisors give a proper-divisor sum of 122,926,296, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 137 × 24623
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 203,886,720
Proper Divisor Sum 122,926,296
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #80960423 ← → #80960459

Radix Representation

Decimal 80960424
Binary 100110100110101101110101000 (27 bits)
Octal 0o464655650
Hexadecimal 0x4D35BA8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 137 274 411 548 822 1,096 1,644 3,288 24,623 49,246 73,869 98,492 147,738 196,984 295,476 590,952 3,373,351 6,746,702 10,120,053 13,493,404 20,240,106 26,986,808 40,480,212 80,960,424

Collatz Trajectory (135 steps to reach 1)

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

80,960,424 40,480,212 20,240,106 10,120,053 30,360,160 15,180,080 7,590,040 3,795,020 1,897,510 948,755 2,846,266 1,423,133 4,269,400 2,134,700 1,067,350 533,675 1,601,026 800,513 2,401,540 1,200,770 600,385 1,801,156 900,578 450,289 1,350,868 675,434 337,717 1,013,152 506,576 253,288 126,644 63,322 31,661 94,984 47,492 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #80,960,423 Browse Full Index Next Integer #80,960,425 →