λ
Ratio Atlas
Atlas › Integer Profiles › Node 77,597,656
77,597,656
23 × 172 × 33563
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 17^2 × 33563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 154,562,220
Proper Divisor Sum 76,964,564
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #77597651 ← → #77597657

Radix Representation

Decimal 77597656
Binary 100101000000000101111011000 (27 bits)
Octal 0o450005730
Hexadecimal 0x4A00BD8

Divisor Catalog (24)

1 2 4 8 17 34 68 136 289 578 1,156 2,312 33,563 67,126 134,252 268,504 570,571 1,141,142 2,282,284 4,564,568 9,699,707 19,399,414 38,798,828 77,597,656

Collatz Trajectory (166 steps to reach 1)

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

77,597,656 38,798,828 19,399,414 9,699,707 29,099,122 14,549,561 43,648,684 21,824,342 10,912,171 32,736,514 16,368,257 49,104,772 24,552,386 12,276,193 36,828,580 18,414,290 9,207,145 27,621,436 13,810,718 6,905,359 20,716,078 10,358,039 31,074,118 15,537,059 46,611,178 23,305,589 69,916,768 34,958,384 17,479,192 8,739,596 4,369,798 2,184,899 6,554,698 3,277,349 9,832,048 4,916,024 2,458,012 1,229,006 614,503 1,843,510 921,755 2,765,266 1,382,633 4,147,900 2,073,950 1,036,975 3,110,926 1,555,463 4,666,390 2,333,195 6,999,586 3,499,793 10,499,380 5,249,690 2,624,845 7,874,536 3,937,268 1,968,634 984,317 2,952,952

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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