λ
Ratio Atlas
Atlas › Integer Profiles › Node 808,302

808,302

2 × 3 × 11 × 37 × 331
Abundant Even Composite

808,302 factors as 2 × 3 × 11 × 37 × 331. Its 32 positive divisors give a proper-divisor sum of 1,008,402, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 37 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,816,704
Proper Divisor Sum 1,008,402
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #808267 ← → #808307

Radix Representation

Decimal 808302
Binary 11000101010101101110 (20 bits)
Octal 0o3052556
Hexadecimal 0xC556E

Divisor Catalog (32)

1 2 3 6 11 22 33 37 66 74 111 222 331 407 662 814 993 1,221 1,986 2,442 3,641 7,282 10,923 12,247 21,846 24,494 36,741 73,482 134,717 269,434 404,151 808,302

Collatz Trajectory (162 steps to reach 1)

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

808,302 404,151 1,212,454 606,227 1,818,682 909,341 2,728,024 1,364,012 682,006 341,003 1,023,010 511,505 1,534,516 767,258 383,629 1,150,888 575,444 287,722 143,861 431,584 215,792 107,896 53,948 26,974 13,487 40,462 20,231 60,694 30,347 91,042 45,521 136,564 68,282 34,141 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #808,301 Browse Full Index Next Integer #808,303 →