λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,745,870
7,745,870
2 × 5 × 11 × 67 × 1051
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11 × 67 × 1051
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,451,776
Proper Divisor Sum 7,705,906
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7745869 ← → #7745873

Radix Representation

Decimal 7745870
Binary 11101100011000101001110 (23 bits)
Octal 0o35430516
Hexadecimal 0x76314E

Divisor Catalog (32)

1 2 5 10 11 22 55 67 110 134 335 670 737 1,051 1,474 2,102 3,685 5,255 7,370 10,510 11,561 23,122 57,805 70,417 115,610 140,834 352,085 704,170 774,587 1,549,174 3,872,935 7,745,870

Collatz Trajectory (186 steps to reach 1)

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

7,745,870 3,872,935 11,618,806 5,809,403 17,428,210 8,714,105 26,142,316 13,071,158 6,535,579 19,606,738 9,803,369 29,410,108 14,705,054 7,352,527 22,057,582 11,028,791 33,086,374 16,543,187 49,629,562 24,814,781 74,444,344 37,222,172 18,611,086 9,305,543 27,916,630 13,958,315 41,874,946 20,937,473 62,812,420 31,406,210 15,703,105 47,109,316 23,554,658 11,777,329 35,331,988 17,665,994 8,832,997 26,498,992 13,249,496 6,624,748 3,312,374 1,656,187 4,968,562 2,484,281 7,452,844 3,726,422 1,863,211 5,589,634 2,794,817 8,384,452 4,192,226 2,096,113 6,288,340 3,144,170 1,572,085 4,716,256 2,358,128 1,179,064 589,532 294,766

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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