λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,970,960
3,970,960
24 × 5 × 72 × 1013
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7^2 × 1013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,750,428
Proper Divisor Sum 6,779,468
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3970949 ← → #3970991

Radix Representation

Decimal 3970960
Binary 1111001001011110010000 (22 bits)
Octal 0o17113620
Hexadecimal 0x3C9790

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1,013 1,960 2,026 3,920 4,052 5,065 7,091 8,104 10,130 14,182 16,208 20,260 28,364 35,455 40,520 49,637 56,728 70,910 81,040 99,274 113,456 141,820 198,548 248,185 283,640 397,096 496,370 567,280 794,192 992,740 1,985,480 3,970,960

Collatz Trajectory (123 steps to reach 1)

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

3,970,960 1,985,480 992,740 496,370 248,185 744,556 372,278 186,139 558,418 279,209 837,628 418,814 209,407 628,222 314,111 942,334 471,167 1,413,502 706,751 2,120,254 1,060,127 3,180,382 1,590,191 4,770,574 2,385,287 7,155,862 3,577,931 10,733,794 5,366,897 16,100,692 8,050,346 4,025,173 12,075,520 6,037,760 3,018,880 1,509,440 754,720 377,360 188,680 94,340 47,170 23,585 70,756 35,378 17,689 53,068 26,534 13,267 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190

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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