λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,973,398
6,973,398
2 × 33 × 29 × 61 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 29 × 61 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,516,800
Proper Divisor Sum 9,543,402
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6973397 ← → #6973423

Radix Representation

Decimal 6973398
Binary 11010100110011111010110 (23 bits)
Octal 0o32463726
Hexadecimal 0x6A67D6

Divisor Catalog (60 of 64)

1 2 3 6 9 18 27 29 54 58 61 73 87 122 146 174 183 219 261 366 438 522 549 657 783 1,098 1,314 1,566 1,647 1,769 1,971 2,117 3,294 3,538 3,942 4,234 4,453 5,307 6,351 8,906 10,614 12,702 13,359 15,921 19,053 26,718 31,842 38,106 40,077 47,763 57,159 80,154 95,526 114,318 120,231 129,137 240,462 258,274 387,411 774,822

Collatz Trajectory (160 steps to reach 1)

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

6,973,398 3,486,699 10,460,098 5,230,049 15,690,148 7,845,074 3,922,537 11,767,612 5,883,806 2,941,903 8,825,710 4,412,855 13,238,566 6,619,283 19,857,850 9,928,925 29,786,776 14,893,388 7,446,694 3,723,347 11,170,042 5,585,021 16,755,064 8,377,532 4,188,766 2,094,383 6,283,150 3,141,575 9,424,726 4,712,363 14,137,090 7,068,545 21,205,636 10,602,818 5,301,409 15,904,228 7,952,114 3,976,057 11,928,172 5,964,086 2,982,043 8,946,130 4,473,065 13,419,196 6,709,598 3,354,799 10,064,398 5,032,199 15,096,598 7,548,299 22,644,898 11,322,449 33,967,348 16,983,674 8,491,837 25,475,512 12,737,756 6,368,878 3,184,439 9,553,318

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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