λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,736,672
2,736,672
25 × 3 × 29 × 983
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 29 × 983
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,439,040
Proper Divisor Sum 4,702,368
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2736637 ← → #2736673

Radix Representation

Decimal 2736672
Binary 1010011100001000100000 (22 bits)
Octal 0o12341040
Hexadecimal 0x29C220

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 983 1,392 1,966 2,784 2,949 3,932 5,898 7,864 11,796 15,728 23,592 28,507 31,456 47,184 57,014 85,521 94,368 114,028 171,042 228,056 342,084 456,112 684,168 912,224 1,368,336 2,736,672

Collatz Trajectory (156 steps to reach 1)

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

2,736,672 1,368,336 684,168 342,084 171,042 85,521 256,564 128,282 64,141 192,424 96,212 48,106 24,053 72,160 36,080 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485

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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