Integer 84,005,337 Profile | Ratio Atlas

84,005,337

3 × 13² × 67 × 2473

Prime Factor Structure

Factorization String 3 × 13^2 × 67 × 2473

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 123,145,824

Proper Divisor Sum 39,140,487

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #84005329 ← → #84005353

Radix Representation

Decimal	84005337
Binary	101000000011101000111011001 (27 bits)
Octal	0o500350731
Hexadecimal	0x501D1D9

Divisor Catalog (24)

Collatz Trajectory (223 steps to reach 1)

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

84,005,337 252,016,012 126,008,006 63,004,003 189,012,010 94,506,005 283,518,016 141,759,008 70,879,504 35,439,752 17,719,876 8,859,938 4,429,969 13,289,908 6,644,954 3,322,477 9,967,432 4,983,716 2,491,858 1,245,929 3,737,788 1,868,894 934,447 2,803,342 1,401,671 4,205,014 2,102,507 6,307,522 3,153,761 9,461,284 4,730,642 2,365,321 7,095,964 3,547,982 1,773,991 5,321,974 2,660,987 7,982,962 3,991,481 11,974,444 5,987,222 2,993,611 8,980,834 4,490,417 13,471,252 6,735,626 3,367,813 10,103,440 5,051,720 2,525,860 1,262,930 631,465 1,894,396 947,198 473,599 1,420,798 710,399 2,131,198 1,065,599 3,196,798

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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