λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,091,279
8,091,279
33 × 7 × 31 × 1381
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 31 × 1381
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,151,680
Proper Divisor Sum 6,060,401
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8091277 ← → #8091289

Radix Representation

Decimal 8091279
Binary 11110110111011010001111 (23 bits)
Octal 0o36673217
Hexadecimal 0x7B768F

Divisor Catalog (32)

1 3 7 9 21 27 31 63 93 189 217 279 651 837 1,381 1,953 4,143 5,859 9,667 12,429 29,001 37,287 42,811 87,003 128,433 261,009 299,677 385,299 899,031 1,155,897 2,697,093 8,091,279

Collatz Trajectory (137 steps to reach 1)

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

8,091,279 24,273,838 12,136,919 36,410,758 18,205,379 54,616,138 27,308,069 81,924,208 40,962,104 20,481,052 10,240,526 5,120,263 15,360,790 7,680,395 23,041,186 11,520,593 34,561,780 17,280,890 8,640,445 25,921,336 12,960,668 6,480,334 3,240,167 9,720,502 4,860,251 14,580,754 7,290,377 21,871,132 10,935,566 5,467,783 16,403,350 8,201,675 24,605,026 12,302,513 36,907,540 18,453,770 9,226,885 27,680,656 13,840,328 6,920,164 3,460,082 1,730,041 5,190,124 2,595,062 1,297,531 3,892,594 1,946,297 5,838,892 2,919,446 1,459,723 4,379,170 2,189,585 6,568,756 3,284,378 1,642,189 4,926,568 2,463,284 1,231,642 615,821 1,847,464

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 #8,091,278 Browse Full Index Next Integer #8,091,280 →