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Ratio Atlas
Atlas › Integer Profiles › Node 9,946,971
9,946,971
32 × 23 × 29 × 1657
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 23 × 29 × 1657
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,518,880
Proper Divisor Sum 5,571,909
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9946957 ← → #9946973

Radix Representation

Decimal 9946971
Binary 100101111100011101011011 (24 bits)
Octal 0o45743533
Hexadecimal 0x97C75B

Divisor Catalog (24)

1 3 9 23 29 69 87 207 261 667 1,657 2,001 4,971 6,003 14,913 38,111 48,053 114,333 144,159 342,999 432,477 1,105,219 3,315,657 9,946,971

Collatz Trajectory (238 steps to reach 1)

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

9,946,971 29,840,914 14,920,457 44,761,372 22,380,686 11,190,343 33,571,030 16,785,515 50,356,546 25,178,273 75,534,820 37,767,410 18,883,705 56,651,116 28,325,558 14,162,779 42,488,338 21,244,169 63,732,508 31,866,254 15,933,127 47,799,382 23,899,691 71,699,074 35,849,537 107,548,612 53,774,306 26,887,153 80,661,460 40,330,730 20,165,365 60,496,096 30,248,048 15,124,024 7,562,012 3,781,006 1,890,503 5,671,510 2,835,755 8,507,266 4,253,633 12,760,900 6,380,450 3,190,225 9,570,676 4,785,338 2,392,669 7,178,008 3,589,004 1,794,502 897,251 2,691,754 1,345,877 4,037,632 2,018,816 1,009,408 504,704 252,352 126,176 63,088

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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