λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,780,948
36,780,948
22 × 32 × 149 × 6857
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 149 × 6857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 93,611,700
Proper Divisor Sum 56,830,752
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36780937 ← → #36780949

Radix Representation

Decimal 36780948
Binary 10001100010011101110010100 (26 bits)
Octal 0o214235624
Hexadecimal 0x2313B94

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 149 298 447 596 894 1,341 1,788 2,682 5,364 6,857 13,714 20,571 27,428 41,142 61,713 82,284 123,426 246,852 1,021,693 2,043,386 3,065,079 4,086,772 6,130,158 9,195,237 12,260,316 18,390,474 36,780,948

Collatz Trajectory (333 steps to reach 1)

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

36,780,948 18,390,474 9,195,237 27,585,712 13,792,856 6,896,428 3,448,214 1,724,107 5,172,322 2,586,161 7,758,484 3,879,242 1,939,621 5,818,864 2,909,432 1,454,716 727,358 363,679 1,091,038 545,519 1,636,558 818,279 2,454,838 1,227,419 3,682,258 1,841,129 5,523,388 2,761,694 1,380,847 4,142,542 2,071,271 6,213,814 3,106,907 9,320,722 4,660,361 13,981,084 6,990,542 3,495,271 10,485,814 5,242,907 15,728,722 7,864,361 23,593,084 11,796,542 5,898,271 17,694,814 8,847,407 26,542,222 13,271,111 39,813,334 19,906,667 59,720,002 29,860,001 89,580,004 44,790,002 22,395,001 67,185,004 33,592,502 16,796,251 50,388,754

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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