λ
Ratio Atlas
Atlas › Integer Profiles › Node 77,611,506
77,611,506
2 × 3 × 7 × 733 × 2521
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 733 × 2521
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 177,710,208
Proper Divisor Sum 100,098,702
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #77611493 ← → #77611529

Radix Representation

Decimal 77611506
Binary 100101000000100000111110010 (27 bits)
Octal 0o450040762
Hexadecimal 0x4A041F2

Divisor Catalog (32)

1 2 3 6 7 14 21 42 733 1,466 2,199 2,521 4,398 5,042 5,131 7,563 10,262 15,126 15,393 17,647 30,786 35,294 52,941 105,882 1,847,893 3,695,786 5,543,679 11,087,358 12,935,251 25,870,502 38,805,753 77,611,506

Collatz Trajectory (202 steps to reach 1)

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

77,611,506 38,805,753 116,417,260 58,208,630 29,104,315 87,312,946 43,656,473 130,969,420 65,484,710 32,742,355 98,227,066 49,113,533 147,340,600 73,670,300 36,835,150 18,417,575 55,252,726 27,626,363 82,879,090 41,439,545 124,318,636 62,159,318 31,079,659 93,238,978 46,619,489 139,858,468 69,929,234 34,964,617 104,893,852 52,446,926 26,223,463 78,670,390 39,335,195 118,005,586 59,002,793 177,008,380 88,504,190 44,252,095 132,756,286 66,378,143 199,134,430 99,567,215 298,701,646 149,350,823 448,052,470 224,026,235 672,078,706 336,039,353 1,008,118,060 504,059,030 252,029,515 756,088,546 378,044,273 1,134,132,820 567,066,410 283,533,205 850,599,616 425,299,808 212,649,904 106,324,952

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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