λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,239,705
7,239,705
3 × 5 × 11 × 17 × 29 × 89
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 29 × 89
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,996,800
Proper Divisor Sum 6,757,095
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7239691 ← → #7239719

Radix Representation

Decimal 7239705
Binary 11011100111100000011001 (23 bits)
Octal 0o33474031
Hexadecimal 0x6E7819

Divisor Catalog (60 of 64)

1 3 5 11 15 17 29 33 51 55 85 87 89 145 165 187 255 267 319 435 445 493 561 935 957 979 1,335 1,479 1,513 1,595 2,465 2,581 2,805 2,937 4,539 4,785 4,895 5,423 7,395 7,565 7,743 12,905 14,685 16,269 16,643 22,695 27,115 28,391 38,715 43,877 49,929 81,345 83,215 85,173 131,631 141,955 219,385 249,645 425,865 482,647

Collatz Trajectory (235 steps to reach 1)

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

7,239,705 21,719,116 10,859,558 5,429,779 16,289,338 8,144,669 24,434,008 12,217,004 6,108,502 3,054,251 9,162,754 4,581,377 13,744,132 6,872,066 3,436,033 10,308,100 5,154,050 2,577,025 7,731,076 3,865,538 1,932,769 5,798,308 2,899,154 1,449,577 4,348,732 2,174,366 1,087,183 3,261,550 1,630,775 4,892,326 2,446,163 7,338,490 3,669,245 11,007,736 5,503,868 2,751,934 1,375,967 4,127,902 2,063,951 6,191,854 3,095,927 9,287,782 4,643,891 13,931,674 6,965,837 20,897,512 10,448,756 5,224,378 2,612,189 7,836,568 3,918,284 1,959,142 979,571 2,938,714 1,469,357 4,408,072 2,204,036 1,102,018 551,009 1,653,028

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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