λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,533,752
45,533,752
23 × 112 × 17 × 2767
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11^2 × 17 × 2767
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,398,880
Proper Divisor Sum 53,865,128
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #45533749 ← → #45533753

Radix Representation

Decimal 45533752
Binary 10101101101100101000111000 (26 bits)
Octal 0o255545070
Hexadecimal 0x2B6CA38

Divisor Catalog (48)

1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1,496 2,057 2,767 4,114 5,534 8,228 11,068 16,456 22,136 30,437 47,039 60,874 94,078 121,748 188,156 243,496 334,807 376,312 517,429 669,614 1,034,858 1,339,228 2,069,716 2,678,456 4,139,432 5,691,719 11,383,438 22,766,876 45,533,752

Collatz Trajectory (129 steps to reach 1)

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

45,533,752 22,766,876 11,383,438 5,691,719 17,075,158 8,537,579 25,612,738 12,806,369 38,419,108 19,209,554 9,604,777 28,814,332 14,407,166 7,203,583 21,610,750 10,805,375 32,416,126 16,208,063 48,624,190 24,312,095 72,936,286 36,468,143 109,404,430 54,702,215 164,106,646 82,053,323 246,159,970 123,079,985 369,239,956 184,619,978 92,309,989 276,929,968 138,464,984 69,232,492 34,616,246 17,308,123 51,924,370 25,962,185 77,886,556 38,943,278 19,471,639 58,414,918 29,207,459 87,622,378 43,811,189 131,433,568 65,716,784 32,858,392 16,429,196 8,214,598 4,107,299 12,321,898 6,160,949 18,482,848 9,241,424 4,620,712 2,310,356 1,155,178 577,589 1,732,768

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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