λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,598,847
52,598,847
3 × 7 × 31 × 43 × 1879
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 31 × 43 × 1879
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,705,280
Proper Divisor Sum 32,106,433
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #52598839 ← → #52598849

Radix Representation

Decimal 52598847
Binary 11001000101001100000111111 (26 bits)
Octal 0o310514077
Hexadecimal 0x322983F

Divisor Catalog (32)

1 3 7 21 31 43 93 129 217 301 651 903 1,333 1,879 3,999 5,637 9,331 13,153 27,993 39,459 58,249 80,797 174,747 242,391 407,743 565,579 1,223,229 1,696,737 2,504,707 7,514,121 17,532,949 52,598,847

Collatz Trajectory (199 steps to reach 1)

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

52,598,847 157,796,542 78,898,271 236,694,814 118,347,407 355,042,222 177,521,111 532,563,334 266,281,667 798,845,002 399,422,501 1,198,267,504 599,133,752 299,566,876 149,783,438 74,891,719 224,675,158 112,337,579 337,012,738 168,506,369 505,519,108 252,759,554 126,379,777 379,139,332 189,569,666 94,784,833 284,354,500 142,177,250 71,088,625 213,265,876 106,632,938 53,316,469 159,949,408 79,974,704 39,987,352 19,993,676 9,996,838 4,998,419 14,995,258 7,497,629 22,492,888 11,246,444 5,623,222 2,811,611 8,434,834 4,217,417 12,652,252 6,326,126 3,163,063 9,489,190 4,744,595 14,233,786 7,116,893 21,350,680 10,675,340 5,337,670 2,668,835 8,006,506 4,003,253 12,009,760

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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