λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,567,652
97,567,652
22 × 7 × 13 × 268043
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 268043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 210,146,496
Proper Divisor Sum 112,578,844
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #97567643 ← → #97567663

Radix Representation

Decimal 97567652
Binary 101110100001100001110100100 (27 bits)
Octal 0o564141644
Hexadecimal 0x5D0C3A4

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 268,043 536,086 1,072,172 1,876,301 3,484,559 3,752,602 6,969,118 7,505,204 13,938,236 24,391,913 48,783,826 97,567,652

Collatz Trajectory (143 steps to reach 1)

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

97,567,652 48,783,826 24,391,913 73,175,740 36,587,870 18,293,935 54,881,806 27,440,903 82,322,710 41,161,355 123,484,066 61,742,033 185,226,100 92,613,050 46,306,525 138,919,576 69,459,788 34,729,894 17,364,947 52,094,842 26,047,421 78,142,264 39,071,132 19,535,566 9,767,783 29,303,350 14,651,675 43,955,026 21,977,513 65,932,540 32,966,270 16,483,135 49,449,406 24,724,703 74,174,110 37,087,055 111,261,166 55,630,583 166,891,750 83,445,875 250,337,626 125,168,813 375,506,440 187,753,220 93,876,610 46,938,305 140,814,916 70,407,458 35,203,729 105,611,188 52,805,594 26,402,797 79,208,392 39,604,196 19,802,098 9,901,049 29,703,148 14,851,574 7,425,787 22,277,362

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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