λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,928,376
36,928,376
23 × 131 × 167 × 211
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 131 × 167 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,519,680
Proper Divisor Sum 33,591,304
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #36928373 ← → #36928379

Radix Representation

Decimal 36928376
Binary 10001100110111101101111000 (26 bits)
Octal 0o214675570
Hexadecimal 0x2337B78

Divisor Catalog (32)

1 2 4 8 131 167 211 262 334 422 524 668 844 1,048 1,336 1,688 21,877 27,641 35,237 43,754 55,282 70,474 87,508 110,564 140,948 175,016 221,128 281,896 4,616,047 9,232,094 18,464,188 36,928,376

Collatz Trajectory (165 steps to reach 1)

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

36,928,376 18,464,188 9,232,094 4,616,047 13,848,142 6,924,071 20,772,214 10,386,107 31,158,322 15,579,161 46,737,484 23,368,742 11,684,371 35,053,114 17,526,557 52,579,672 26,289,836 13,144,918 6,572,459 19,717,378 9,858,689 29,576,068 14,788,034 7,394,017 22,182,052 11,091,026 5,545,513 16,636,540 8,318,270 4,159,135 12,477,406 6,238,703 18,716,110 9,358,055 28,074,166 14,037,083 42,111,250 21,055,625 63,166,876 31,583,438 15,791,719 47,375,158 23,687,579 71,062,738 35,531,369 106,594,108 53,297,054 26,648,527 79,945,582 39,972,791 119,918,374 59,959,187 179,877,562 89,938,781 269,816,344 134,908,172 67,454,086 33,727,043 101,181,130 50,590,565

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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