λ
Ratio Atlas
Atlas › Integer Profiles › Node 222,767
222,767
89 × 2503
Deficient Odd Composite

Prime Factor Structure

Factorization String 89 × 2503
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 225,360
Proper Divisor Sum 2,593
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #222731 ← → #222773

Radix Representation

Decimal 222767
Binary 110110011000101111 (18 bits)
Octal 0o663057
Hexadecimal 0x3662F

Divisor Catalog (4)

1 89 2,503 222,767

Collatz Trajectory (279 steps to reach 1)

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

222,767 668,302 334,151 1,002,454 501,227 1,503,682 751,841 2,255,524 1,127,762 563,881 1,691,644 845,822 422,911 1,268,734 634,367 1,903,102 951,551 2,854,654 1,427,327 4,281,982 2,140,991 6,422,974 3,211,487 9,634,462 4,817,231 14,451,694 7,225,847 21,677,542 10,838,771 32,516,314 16,258,157 48,774,472 24,387,236 12,193,618 6,096,809 18,290,428 9,145,214 4,572,607 13,717,822 6,858,911 20,576,734 10,288,367 30,865,102 15,432,551 46,297,654 23,148,827 69,446,482 34,723,241 104,169,724 52,084,862 26,042,431 78,127,294 39,063,647 117,190,942 58,595,471 175,786,414 87,893,207 263,679,622 131,839,811 395,519,434

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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