λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,429,630
7,429,630
2 × 5 × 13 × 67 × 853
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 67 × 853
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,634,144
Proper Divisor Sum 7,204,514
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7429607 ← → #7429633

Radix Representation

Decimal 7429630
Binary 11100010101110111111110 (23 bits)
Octal 0o34256776
Hexadecimal 0x715DFE

Divisor Catalog (32)

1 2 5 10 13 26 65 67 130 134 335 670 853 871 1,706 1,742 4,265 4,355 8,530 8,710 11,089 22,178 55,445 57,151 110,890 114,302 285,755 571,510 742,963 1,485,926 3,714,815 7,429,630

Collatz Trajectory (310 steps to reach 1)

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

7,429,630 3,714,815 11,144,446 5,572,223 16,716,670 8,358,335 25,075,006 12,537,503 37,612,510 18,806,255 56,418,766 28,209,383 84,628,150 42,314,075 126,942,226 63,471,113 190,413,340 95,206,670 47,603,335 142,810,006 71,405,003 214,215,010 107,107,505 321,322,516 160,661,258 80,330,629 240,991,888 120,495,944 60,247,972 30,123,986 15,061,993 45,185,980 22,592,990 11,296,495 33,889,486 16,944,743 50,834,230 25,417,115 76,251,346 38,125,673 114,377,020 57,188,510 28,594,255 85,782,766 42,891,383 128,674,150 64,337,075 193,011,226 96,505,613 289,516,840 144,758,420 72,379,210 36,189,605 108,568,816 54,284,408 27,142,204 13,571,102 6,785,551 20,356,654 10,178,327

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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