λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,967,487
7,967,487
3 × 112 × 47 × 467
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11^2 × 47 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,950,848
Proper Divisor Sum 3,983,361
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #7967461 ← → #7967497

Radix Representation

Decimal 7967487
Binary 11110011001001011111111 (23 bits)
Octal 0o36311377
Hexadecimal 0x7992FF

Divisor Catalog (24)

1 3 11 33 47 121 141 363 467 517 1,401 1,551 5,137 5,687 15,411 17,061 21,949 56,507 65,847 169,521 241,439 724,317 2,655,829 7,967,487

Collatz Trajectory (217 steps to reach 1)

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

7,967,487 23,902,462 11,951,231 35,853,694 17,926,847 53,780,542 26,890,271 80,670,814 40,335,407 121,006,222 60,503,111 181,509,334 90,754,667 272,264,002 136,132,001 408,396,004 204,198,002 102,099,001 306,297,004 153,148,502 76,574,251 229,722,754 114,861,377 344,584,132 172,292,066 86,146,033 258,438,100 129,219,050 64,609,525 193,828,576 96,914,288 48,457,144 24,228,572 12,114,286 6,057,143 18,171,430 9,085,715 27,257,146 13,628,573 40,885,720 20,442,860 10,221,430 5,110,715 15,332,146 7,666,073 22,998,220 11,499,110 5,749,555 17,248,666 8,624,333 25,873,000 12,936,500 6,468,250 3,234,125 9,702,376 4,851,188 2,425,594 1,212,797 3,638,392 1,819,196

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
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