λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,006,175
20,006,175
3 × 52 × 7 × 53 × 719
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 53 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,568,960
Proper Divisor Sum 18,562,785
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20006149 ← → #20006177

Radix Representation

Decimal 20006175
Binary 1001100010100010100011111 (25 bits)
Octal 0o114242437
Hexadecimal 0x131451F

Divisor Catalog (48)

1 3 5 7 15 21 25 35 53 75 105 159 175 265 371 525 719 795 1,113 1,325 1,855 2,157 3,595 3,975 5,033 5,565 9,275 10,785 15,099 17,975 25,165 27,825 38,107 53,925 75,495 114,321 125,825 190,535 266,749 377,475 571,605 800,247 952,675 1,333,745 2,858,025 4,001,235 6,668,725 20,006,175

Collatz Trajectory (314 steps to reach 1)

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

20,006,175 60,018,526 30,009,263 90,027,790 45,013,895 135,041,686 67,520,843 202,562,530 101,281,265 303,843,796 151,921,898 75,960,949 227,882,848 113,941,424 56,970,712 28,485,356 14,242,678 7,121,339 21,364,018 10,682,009 32,046,028 16,023,014 8,011,507 24,034,522 12,017,261 36,051,784 18,025,892 9,012,946 4,506,473 13,519,420 6,759,710 3,379,855 10,139,566 5,069,783 15,209,350 7,604,675 22,814,026 11,407,013 34,221,040 17,110,520 8,555,260 4,277,630 2,138,815 6,416,446 3,208,223 9,624,670 4,812,335 14,437,006 7,218,503 21,655,510 10,827,755 32,483,266 16,241,633 48,724,900 24,362,450 12,181,225 36,543,676 18,271,838 9,135,919 27,407,758

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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