λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,989,328
31,989,328
24 × 7 × 47 × 59 × 103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 47 × 59 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 74,280,960
Proper Divisor Sum 42,291,632
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #31989319 ← → #31989341

Radix Representation

Decimal 31989328
Binary 1111010000001111001010000 (25 bits)
Octal 0o172017120
Hexadecimal 0x1E81E50

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 28 47 56 59 94 103 112 118 188 206 236 329 376 412 413 472 658 721 752 824 826 944 1,316 1,442 1,648 1,652 2,632 2,773 2,884 3,304 4,841 5,264 5,546 5,768 6,077 6,608 9,682 11,092 11,536 12,154 19,364 19,411 22,184 24,308 33,887 38,728 38,822 42,539 44,368 48,616 67,774 77,456 77,644

Collatz Trajectory (294 steps to reach 1)

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

31,989,328 15,994,664 7,997,332 3,998,666 1,999,333 5,998,000 2,999,000 1,499,500 749,750 374,875 1,124,626 562,313 1,686,940 843,470 421,735 1,265,206 632,603 1,897,810 948,905 2,846,716 1,423,358 711,679 2,135,038 1,067,519 3,202,558 1,601,279 4,803,838 2,401,919 7,205,758 3,602,879 10,808,638 5,404,319 16,212,958 8,106,479 24,319,438 12,159,719 36,479,158 18,239,579 54,718,738 27,359,369 82,078,108 41,039,054 20,519,527 61,558,582 30,779,291 92,337,874 46,168,937 138,506,812 69,253,406 34,626,703 103,880,110 51,940,055 155,820,166 77,910,083 233,730,250 116,865,125 350,595,376 175,297,688 87,648,844 43,824,422

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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