λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,745,871
7,745,871
3 × 72 × 23 × 29 × 79
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 23 × 29 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,132,800
Proper Divisor Sum 5,386,929
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7745869 ← → #7745873

Radix Representation

Decimal 7745871
Binary 11101100011000101001111 (23 bits)
Octal 0o35430517
Hexadecimal 0x76314F

Divisor Catalog (48)

1 3 7 21 23 29 49 69 79 87 147 161 203 237 483 553 609 667 1,127 1,421 1,659 1,817 2,001 2,291 3,381 3,871 4,263 4,669 5,451 6,873 11,613 12,719 14,007 16,037 32,683 38,157 48,111 52,693 89,033 98,049 112,259 158,079 267,099 336,777 368,851 1,106,553 2,581,957 7,745,871

Collatz Trajectory (186 steps to reach 1)

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

7,745,871 23,237,614 11,618,807 34,856,422 17,428,211 52,284,634 26,142,317 78,426,952 39,213,476 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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