λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,617,038
29,617,038
2 × 32 × 11 × 101 × 1481
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 101 × 1481
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 70,744,752
Proper Divisor Sum 41,127,714
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #29617037 ← → #29617039

Radix Representation

Decimal 29617038
Binary 1110000111110101110001110 (25 bits)
Octal 0o160765616
Hexadecimal 0x1C3EB8E

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1,111 1,481 1,818 2,222 2,962 3,333 4,443 6,666 8,886 9,999 13,329 16,291 19,998 26,658 32,582 48,873 97,746 146,619 149,581 293,238 299,162 448,743 897,486 1,346,229 1,645,391 2,692,458 3,290,782 4,936,173 9,872,346 14,808,519 29,617,038

Collatz Trajectory (167 steps to reach 1)

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

29,617,038 14,808,519 44,425,558 22,212,779 66,638,338 33,319,169 99,957,508 49,978,754 24,989,377 74,968,132 37,484,066 18,742,033 56,226,100 28,113,050 14,056,525 42,169,576 21,084,788 10,542,394 5,271,197 15,813,592 7,906,796 3,953,398 1,976,699 5,930,098 2,965,049 8,895,148 4,447,574 2,223,787 6,671,362 3,335,681 10,007,044 5,003,522 2,501,761 7,505,284 3,752,642 1,876,321 5,628,964 2,814,482 1,407,241 4,221,724 2,110,862 1,055,431 3,166,294 1,583,147 4,749,442 2,374,721 7,124,164 3,562,082 1,781,041 5,343,124 2,671,562 1,335,781 4,007,344 2,003,672 1,001,836 500,918 250,459 751,378 375,689 1,127,068

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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