λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,072,359
10,072,359
32 × 11 × 101741
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11 × 101741
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,871,752
Proper Divisor Sum 5,799,393
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10072351 ← → #10072373

Radix Representation

Decimal 10072359
Binary 100110011011000100100111 (24 bits)
Octal 0o46330447
Hexadecimal 0x99B127

Divisor Catalog (12)

1 3 9 11 33 99 101,741 305,223 915,669 1,119,151 3,357,453 10,072,359

Collatz Trajectory (295 steps to reach 1)

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

10,072,359 30,217,078 15,108,539 45,325,618 22,662,809 67,988,428 33,994,214 16,997,107 50,991,322 25,495,661 76,486,984 38,243,492 19,121,746 9,560,873 28,682,620 14,341,310 7,170,655 21,511,966 10,755,983 32,267,950 16,133,975 48,401,926 24,200,963 72,602,890 36,301,445 108,904,336 54,452,168 27,226,084 13,613,042 6,806,521 20,419,564 10,209,782 5,104,891 15,314,674 7,657,337 22,972,012 11,486,006 5,743,003 17,229,010 8,614,505 25,843,516 12,921,758 6,460,879 19,382,638 9,691,319 29,073,958 14,536,979 43,610,938 21,805,469 65,416,408 32,708,204 16,354,102 8,177,051 24,531,154 12,265,577 36,796,732 18,398,366 9,199,183 27,597,550 13,798,775

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
← Previous Integer #10,072,358 Browse Full Index Next Integer #10,072,360 →