λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,129,592
7,129,592
23 × 29 × 79 × 389
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 29 × 79 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,040,000
Proper Divisor Sum 6,910,408
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7129589 ← → #7129601

Radix Representation

Decimal 7129592
Binary 11011001100100111111000 (23 bits)
Octal 0o33144770
Hexadecimal 0x6CC9F8

Divisor Catalog (32)

1 2 4 8 29 58 79 116 158 232 316 389 632 778 1,556 2,291 3,112 4,582 9,164 11,281 18,328 22,562 30,731 45,124 61,462 90,248 122,924 245,848 891,199 1,782,398 3,564,796 7,129,592

Collatz Trajectory (279 steps to reach 1)

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

7,129,592 3,564,796 1,782,398 891,199 2,673,598 1,336,799 4,010,398 2,005,199 6,015,598 3,007,799 9,023,398 4,511,699 13,535,098 6,767,549 20,302,648 10,151,324 5,075,662 2,537,831 7,613,494 3,806,747 11,420,242 5,710,121 17,130,364 8,565,182 4,282,591 12,847,774 6,423,887 19,271,662 9,635,831 28,907,494 14,453,747 43,361,242 21,680,621 65,041,864 32,520,932 16,260,466 8,130,233 24,390,700 12,195,350 6,097,675 18,293,026 9,146,513 27,439,540 13,719,770 6,859,885 20,579,656 10,289,828 5,144,914 2,572,457 7,717,372 3,858,686 1,929,343 5,788,030 2,894,015 8,682,046 4,341,023 13,023,070 6,511,535 19,534,606 9,767,303

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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