λ
Ratio Atlas
Atlas › Integer Profiles › Node 101,400

101,400

23 × 3 × 52 × 132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 13^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 340,380
Proper Divisor Sum 238,980
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #101399 ← → #101411

Radix Representation

Decimal 101400
Binary 11000110000011000 (17 bits)
Octal 0o306030
Hexadecimal 0x18C18

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 169 195 200 260 300 312 325 338 390 507 520 600 650 676 780 845 975 1,014 1,300 1,352 1,560 1,690 1,950 2,028 2,535 2,600 3,380 3,900 4,056 4,225

Collatz Trajectory (58 steps to reach 1)

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

101,400 50,700 25,350 12,675 38,026 19,013 57,040 28,520 14,260 7,130 3,565 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 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #101,399 Browse Full Index Next Integer #101,401 →