λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,356,882
76,356,882
2 × 32 × 7 × 691 × 877
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 691 × 877
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 189,563,712
Proper Divisor Sum 113,206,830
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #76356881 ← → #76356899

Radix Representation

Decimal 76356882
Binary 100100011010001110100010010 (27 bits)
Octal 0o443216422
Hexadecimal 0x48D1D12

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 126 691 877 1,382 1,754 2,073 2,631 4,146 4,837 5,262 6,139 6,219 7,893 9,674 12,278 12,438 14,511 15,786 18,417 29,022 36,834 43,533 55,251 87,066 110,502 606,007 1,212,014 1,818,021 3,636,042 4,242,049 5,454,063 8,484,098 10,908,126 12,726,147 25,452,294 38,178,441 76,356,882

Collatz Trajectory (303 steps to reach 1)

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

76,356,882 38,178,441 114,535,324 57,267,662 28,633,831 85,901,494 42,950,747 128,852,242 64,426,121 193,278,364 96,639,182 48,319,591 144,958,774 72,479,387 217,438,162 108,719,081 326,157,244 163,078,622 81,539,311 244,617,934 122,308,967 366,926,902 183,463,451 550,390,354 275,195,177 825,585,532 412,792,766 206,396,383 619,189,150 309,594,575 928,783,726 464,391,863 1,393,175,590 696,587,795 2,089,763,386 1,044,881,693 3,134,645,080 1,567,322,540 783,661,270 391,830,635 1,175,491,906 587,745,953 1,763,237,860 881,618,930 440,809,465 1,322,428,396 661,214,198 330,607,099 991,821,298 495,910,649 1,487,731,948 743,865,974 371,932,987 1,115,798,962 557,899,481 1,673,698,444 836,849,222 418,424,611 1,255,273,834 627,636,917

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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