λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,410,340
7,410,340
22 × 5 × 7 × 41 × 1291
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 41 × 1291
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,232,704
Proper Divisor Sum 10,822,364
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7410329 ← → #7410353

Radix Representation

Decimal 7410340
Binary 11100010001001010100100 (23 bits)
Octal 0o34211244
Hexadecimal 0x7112A4

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1,148 1,291 1,435 2,582 2,870 5,164 5,740 6,455 9,037 12,910 18,074 25,820 36,148 45,185 52,931 90,370 105,862 180,740 211,724 264,655 370,517 529,310 741,034 1,058,620 1,482,068 1,852,585 3,705,170 7,410,340

Collatz Trajectory (235 steps to reach 1)

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

7,410,340 3,705,170 1,852,585 5,557,756 2,778,878 1,389,439 4,168,318 2,084,159 6,252,478 3,126,239 9,378,718 4,689,359 14,068,078 7,034,039 21,102,118 10,551,059 31,653,178 15,826,589 47,479,768 23,739,884 11,869,942 5,934,971 17,804,914 8,902,457 26,707,372 13,353,686 6,676,843 20,030,530 10,015,265 30,045,796 15,022,898 7,511,449 22,534,348 11,267,174 5,633,587 16,900,762 8,450,381 25,351,144 12,675,572 6,337,786 3,168,893 9,506,680 4,753,340 2,376,670 1,188,335 3,565,006 1,782,503 5,347,510 2,673,755 8,021,266 4,010,633 12,031,900 6,015,950 3,007,975 9,023,926 4,511,963 13,535,890 6,767,945 20,303,836 10,151,918

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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