λ
Ratio Atlas
Atlas › Integer Profiles › Node 75,008,752
75,008,752
24 × 7 × 13 × 51517
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 51517
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 178,870,496
Proper Divisor Sum 103,861,744
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #75008701 ← → #75008771

Radix Representation

Decimal 75008752
Binary 100011110001000101011110000 (27 bits)
Octal 0o436105360
Hexadecimal 0x4788AF0

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 51,517 103,034 206,068 360,619 412,136 669,721 721,238 824,272 1,339,442 1,442,476 2,678,884 2,884,952 4,688,047 5,357,768 5,769,904 9,376,094 10,715,536 18,752,188 37,504,376 75,008,752

Collatz Trajectory (184 steps to reach 1)

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

75,008,752 37,504,376 18,752,188 9,376,094 4,688,047 14,064,142 7,032,071 21,096,214 10,548,107 31,644,322 15,822,161 47,466,484 23,733,242 11,866,621 35,599,864 17,799,932 8,899,966 4,449,983 13,349,950 6,674,975 20,024,926 10,012,463 30,037,390 15,018,695 45,056,086 22,528,043 67,584,130 33,792,065 101,376,196 50,688,098 25,344,049 76,032,148 38,016,074 19,008,037 57,024,112 28,512,056 14,256,028 7,128,014 3,564,007 10,692,022 5,346,011 16,038,034 8,019,017 24,057,052 12,028,526 6,014,263 18,042,790 9,021,395 27,064,186 13,532,093 40,596,280 20,298,140 10,149,070 5,074,535 15,223,606 7,611,803 22,835,410 11,417,705 34,253,116 17,126,558

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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