λ
Ratio Atlas
Atlas › Integer Profiles › Node 164,802

164,802

2 × 3 × 112 × 227
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 363,888
Proper Divisor Sum 199,086
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #164789 ← → #164809

Radix Representation

Decimal 164802
Binary 101000001111000010 (18 bits)
Octal 0o501702
Hexadecimal 0x283C2

Divisor Catalog (24)

1 2 3 6 11 22 33 66 121 227 242 363 454 681 726 1,362 2,497 4,994 7,491 14,982 27,467 54,934 82,401 164,802

Collatz Trajectory (64 steps to reach 1)

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

164,802 82,401 247,204 123,602 61,801 185,404 92,702 46,351 139,054 69,527 208,582 104,291 312,874 156,437 469,312 234,656 117,328 58,664 29,332 14,666 7,333 22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #164,801 Browse Full Index Next Integer #164,803 →