λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,516,142
7,516,142
2 × 17 × 43 × 53 × 97
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 17 × 43 × 53 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,573,792
Proper Divisor Sum 5,057,650
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7516121 ← → #7516151

Radix Representation

Decimal 7516142
Binary 11100101010111111101110 (23 bits)
Octal 0o34527756
Hexadecimal 0x72AFEE

Divisor Catalog (32)

1 2 17 34 43 53 86 97 106 194 731 901 1,462 1,649 1,802 2,279 3,298 4,171 4,558 5,141 8,342 10,282 38,743 70,907 77,486 87,397 141,814 174,794 221,063 442,126 3,758,071 7,516,142

Collatz Trajectory (134 steps to reach 1)

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

7,516,142 3,758,071 11,274,214 5,637,107 16,911,322 8,455,661 25,366,984 12,683,492 6,341,746 3,170,873 9,512,620 4,756,310 2,378,155 7,134,466 3,567,233 10,701,700 5,350,850 2,675,425 8,026,276 4,013,138 2,006,569 6,019,708 3,009,854 1,504,927 4,514,782 2,257,391 6,772,174 3,386,087 10,158,262 5,079,131 15,237,394 7,618,697 22,856,092 11,428,046 5,714,023 17,142,070 8,571,035 25,713,106 12,856,553 38,569,660 19,284,830 9,642,415 28,927,246 14,463,623 43,390,870 21,695,435 65,086,306 32,543,153 97,629,460 48,814,730 24,407,365 73,222,096 36,611,048 18,305,524 9,152,762 4,576,381 13,729,144 6,864,572 3,432,286 1,716,143

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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