λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,005,315
20,005,315
5 × 11 × 47 × 71 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11 × 47 × 71 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,371,520
Proper Divisor Sum 7,366,205
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #20005313 ← → #20005319

Radix Representation

Decimal 20005315
Binary 1001100010100000111000011 (25 bits)
Octal 0o114240703
Hexadecimal 0x13141C3

Divisor Catalog (32)

1 5 11 47 55 71 109 235 355 517 545 781 1,199 2,585 3,337 3,905 5,123 5,995 7,739 16,685 25,615 36,707 38,695 56,353 85,129 183,535 281,765 363,733 425,645 1,818,665 4,001,063 20,005,315

Collatz Trajectory (283 steps to reach 1)

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

20,005,315 60,015,946 30,007,973 90,023,920 45,011,960 22,505,980 11,252,990 5,626,495 16,879,486 8,439,743 25,319,230 12,659,615 37,978,846 18,989,423 56,968,270 28,484,135 85,452,406 42,726,203 128,178,610 64,089,305 192,267,916 96,133,958 48,066,979 144,200,938 72,100,469 216,301,408 108,150,704 54,075,352 27,037,676 13,518,838 6,759,419 20,278,258 10,139,129 30,417,388 15,208,694 7,604,347 22,813,042 11,406,521 34,219,564 17,109,782 8,554,891 25,664,674 12,832,337 38,497,012 19,248,506 9,624,253 28,872,760 14,436,380 7,218,190 3,609,095 10,827,286 5,413,643 16,240,930 8,120,465 24,361,396 12,180,698 6,090,349 18,271,048 9,135,524 4,567,762

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
← Previous Integer #20,005,314 Browse Full Index Next Integer #20,005,316 →