λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,313,374
15,313,374
2 × 39 × 389
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^9 × 389
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 34,543,080
Proper Divisor Sum 19,229,706
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #15313367 ← → #15313409

Radix Representation

Decimal 15313374
Binary 111010011010100111011110 (24 bits)
Octal 0o72324736
Hexadecimal 0xE9A9DE

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 243 389 486 729 778 1,167 1,458 2,187 2,334 3,501 4,374 6,561 7,002 10,503 13,122 19,683 21,006 31,509 39,366 63,018 94,527 189,054 283,581 567,162 850,743 1,701,486 2,552,229 5,104,458 7,656,687 15,313,374

Collatz Trajectory (324 steps to reach 1)

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

15,313,374 7,656,687 22,970,062 11,485,031 34,455,094 17,227,547 51,682,642 25,841,321 77,523,964 38,761,982 19,380,991 58,142,974 29,071,487 87,214,462 43,607,231 130,821,694 65,410,847 196,232,542 98,116,271 294,348,814 147,174,407 441,523,222 220,761,611 662,284,834 331,142,417 993,427,252 496,713,626 248,356,813 745,070,440 372,535,220 186,267,610 93,133,805 279,401,416 139,700,708 69,850,354 34,925,177 104,775,532 52,387,766 26,193,883 78,581,650 39,290,825 117,872,476 58,936,238 29,468,119 88,404,358 44,202,179 132,606,538 66,303,269 198,909,808 99,454,904 49,727,452 24,863,726 12,431,863 37,295,590 18,647,795 55,943,386 27,971,693 83,915,080 41,957,540 20,978,770

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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