λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,356,464
76,356,464
24 × 53 × 127 × 709
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 53 × 127 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 152,133,120
Proper Divisor Sum 75,776,656
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #76356463 ← → #76356487

Radix Representation

Decimal 76356464
Binary 100100011010001101101110000 (27 bits)
Octal 0o443215560
Hexadecimal 0x48D1B70

Divisor Catalog (40)

1 2 4 8 16 53 106 127 212 254 424 508 709 848 1,016 1,418 2,032 2,836 5,672 6,731 11,344 13,462 26,924 37,577 53,848 75,154 90,043 107,696 150,308 180,086 300,616 360,172 601,232 720,344 1,440,688 4,772,279 9,544,558 19,089,116 38,178,232 76,356,464

Collatz Trajectory (228 steps to reach 1)

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

76,356,464 38,178,232 19,089,116 9,544,558 4,772,279 14,316,838 7,158,419 21,475,258 10,737,629 32,212,888 16,106,444 8,053,222 4,026,611 12,079,834 6,039,917 18,119,752 9,059,876 4,529,938 2,264,969 6,794,908 3,397,454 1,698,727 5,096,182 2,548,091 7,644,274 3,822,137 11,466,412 5,733,206 2,866,603 8,599,810 4,299,905 12,899,716 6,449,858 3,224,929 9,674,788 4,837,394 2,418,697 7,256,092 3,628,046 1,814,023 5,442,070 2,721,035 8,163,106 4,081,553 12,244,660 6,122,330 3,061,165 9,183,496 4,591,748 2,295,874 1,147,937 3,443,812 1,721,906 860,953 2,582,860 1,291,430 645,715 1,937,146 968,573 2,905,720

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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