λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,657,342
7,657,342
2 × 7 × 11 × 19 × 2617
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 19 × 2617
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,079,680
Proper Divisor Sum 7,422,338
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7657339 ← → #7657357

Radix Representation

Decimal 7657342
Binary 11101001101011101111110 (23 bits)
Octal 0o35153576
Hexadecimal 0x74D77E

Divisor Catalog (32)

1 2 7 11 14 19 22 38 77 133 154 209 266 418 1,463 2,617 2,926 5,234 18,319 28,787 36,638 49,723 57,574 99,446 201,509 348,061 403,018 546,953 696,122 1,093,906 3,828,671 7,657,342

Collatz Trajectory (261 steps to reach 1)

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

7,657,342 3,828,671 11,486,014 5,743,007 17,229,022 8,614,511 25,843,534 12,921,767 38,765,302 19,382,651 58,147,954 29,073,977 87,221,932 43,610,966 21,805,483 65,416,450 32,708,225 98,124,676 49,062,338 24,531,169 73,593,508 36,796,754 18,398,377 55,195,132 27,597,566 13,798,783 41,396,350 20,698,175 62,094,526 31,047,263 93,141,790 46,570,895 139,712,686 69,856,343 209,569,030 104,784,515 314,353,546 157,176,773 471,530,320 235,765,160 117,882,580 58,941,290 29,470,645 88,411,936 44,205,968 22,102,984 11,051,492 5,525,746 2,762,873 8,288,620 4,144,310 2,072,155 6,216,466 3,108,233 9,324,700 4,662,350 2,331,175 6,993,526 3,496,763 10,490,290

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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