λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,448,288
27,448,288
25 × 7 × 181 × 677
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 181 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,191,584
Proper Divisor Sum 34,743,296
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #27448283 ← → #27448321

Radix Representation

Decimal 27448288
Binary 1101000101101001111100000 (25 bits)
Octal 0o150551740
Hexadecimal 0x1A2D3E0

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 112 181 224 362 677 724 1,267 1,354 1,448 2,534 2,708 2,896 4,739 5,068 5,416 5,792 9,478 10,136 10,832 18,956 20,272 21,664 37,912 40,544 75,824 122,537 151,648 245,074 490,148 857,759 980,296 1,715,518 1,960,592 3,431,036 3,921,184 6,862,072 13,724,144 27,448,288

Collatz Trajectory (193 steps to reach 1)

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

27,448,288 13,724,144 6,862,072 3,431,036 1,715,518 857,759 2,573,278 1,286,639 3,859,918 1,929,959 5,789,878 2,894,939 8,684,818 4,342,409 13,027,228 6,513,614 3,256,807 9,770,422 4,885,211 14,655,634 7,327,817 21,983,452 10,991,726 5,495,863 16,487,590 8,243,795 24,731,386 12,365,693 37,097,080 18,548,540 9,274,270 4,637,135 13,911,406 6,955,703 20,867,110 10,433,555 31,300,666 15,650,333 46,951,000 23,475,500 11,737,750 5,868,875 17,606,626 8,803,313 26,409,940 13,204,970 6,602,485 19,807,456 9,903,728 4,951,864 2,475,932 1,237,966 618,983 1,856,950 928,475 2,785,426 1,392,713 4,178,140 2,089,070 1,044,535

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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