λ
Ratio Atlas
Atlas › Integer Profiles › Node 77,611,695
77,611,695
3 × 5 × 7 × 839 × 881
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 839 × 881
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 142,248,960
Proper Divisor Sum 64,637,265
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #77611691 ← → #77611717

Radix Representation

Decimal 77611695
Binary 100101000000100001010101111 (27 bits)
Octal 0o450041257
Hexadecimal 0x4A042AF

Divisor Catalog (32)

1 3 5 7 15 21 35 105 839 881 2,517 2,643 4,195 4,405 5,873 6,167 12,585 13,215 17,619 18,501 29,365 30,835 88,095 92,505 739,159 2,217,477 3,695,795 5,174,113 11,087,385 15,522,339 25,870,565 77,611,695

Collatz Trajectory (241 steps to reach 1)

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

77,611,695 232,835,086 116,417,543 349,252,630 174,626,315 523,878,946 261,939,473 785,818,420 392,909,210 196,454,605 589,363,816 294,681,908 147,340,954 73,670,477 221,011,432 110,505,716 55,252,858 27,626,429 82,879,288 41,439,644 20,719,822 10,359,911 31,079,734 15,539,867 46,619,602 23,309,801 69,929,404 34,964,702 17,482,351 52,447,054 26,223,527 78,670,582 39,335,291 118,005,874 59,002,937 177,008,812 88,504,406 44,252,203 132,756,610 66,378,305 199,134,916 99,567,458 49,783,729 149,351,188 74,675,594 37,337,797 112,013,392 56,006,696 28,003,348 14,001,674 7,000,837 21,002,512 10,501,256 5,250,628 2,625,314 1,312,657 3,937,972 1,968,986 984,493 2,953,480

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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