λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,999,367
41,999,367
3 × 17 × 19 × 89 × 487
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 17 × 19 × 89 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,244,800
Proper Divisor Sum 21,245,433
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #41999359 ← → #41999369

Radix Representation

Decimal 41999367
Binary 10100000001101110000000111 (26 bits)
Octal 0o240156007
Hexadecimal 0x280DC07

Divisor Catalog (32)

1 3 17 19 51 57 89 267 323 487 969 1,461 1,513 1,691 4,539 5,073 8,279 9,253 24,837 27,759 28,747 43,343 86,241 130,029 157,301 471,903 736,831 823,517 2,210,493 2,470,551 13,999,789 41,999,367

Collatz Trajectory (129 steps to reach 1)

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

41,999,367 125,998,102 62,999,051 188,997,154 94,498,577 283,495,732 141,747,866 70,873,933 212,621,800 106,310,900 53,155,450 26,577,725 79,733,176 39,866,588 19,933,294 9,966,647 29,899,942 14,949,971 44,849,914 22,424,957 67,274,872 33,637,436 16,818,718 8,409,359 25,228,078 12,614,039 37,842,118 18,921,059 56,763,178 28,381,589 85,144,768 42,572,384 21,286,192 10,643,096 5,321,548 2,660,774 1,330,387 3,991,162 1,995,581 5,986,744 2,993,372 1,496,686 748,343 2,245,030 1,122,515 3,367,546 1,683,773 5,051,320 2,525,660 1,262,830 631,415 1,894,246 947,123 2,841,370 1,420,685 4,262,056 2,131,028 1,065,514 532,757 1,598,272

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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