λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,068,412
97,068,412
22 × 72 × 449 × 1103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 449 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 198,223,200
Proper Divisor Sum 101,154,788
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #97068403 ← → #97068421

Radix Representation

Decimal 97068412
Binary 101110010010010010101111100 (27 bits)
Octal 0o562222574
Hexadecimal 0x5C9257C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 196 449 898 1,103 1,796 2,206 3,143 4,412 6,286 7,721 12,572 15,442 22,001 30,884 44,002 54,047 88,004 108,094 216,188 495,247 990,494 1,980,988 3,466,729 6,933,458 13,866,916 24,267,103 48,534,206 97,068,412

Collatz Trajectory (112 steps to reach 1)

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

97,068,412 48,534,206 24,267,103 72,801,310 36,400,655 109,201,966 54,600,983 163,802,950 81,901,475 245,704,426 122,852,213 368,556,640 184,278,320 92,139,160 46,069,580 23,034,790 11,517,395 34,552,186 17,276,093 51,828,280 25,914,140 12,957,070 6,478,535 19,435,606 9,717,803 29,153,410 14,576,705 43,730,116 21,865,058 10,932,529 32,797,588 16,398,794 8,199,397 24,598,192 12,299,096 6,149,548 3,074,774 1,537,387 4,612,162 2,306,081 6,918,244 3,459,122 1,729,561 5,188,684 2,594,342 1,297,171 3,891,514 1,945,757 5,837,272 2,918,636 1,459,318 729,659 2,188,978 1,094,489 3,283,468 1,641,734 820,867 2,462,602 1,231,301 3,693,904

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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