λ
Ratio Atlas
Atlas › Integer Profiles › Node 85,620,007
85,620,007
11 × 172 × 23 × 1171
Deficient Odd Composite

Prime Factor Structure

Factorization String 11 × 17^2 × 23 × 1171
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 103,623,552
Proper Divisor Sum 18,003,545
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #85620001 ← → #85620043

Radix Representation

Decimal 85620007
Binary 101000110100111010100100111 (27 bits)
Octal 0o506472447
Hexadecimal 0x51A7527

Divisor Catalog (24)

1 11 17 23 187 253 289 391 1,171 3,179 4,301 6,647 12,881 19,907 26,933 73,117 218,977 296,263 338,419 457,861 3,722,609 5,036,471 7,783,637 85,620,007

Collatz Trajectory (174 steps to reach 1)

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

85,620,007 256,860,022 128,430,011 385,290,034 192,645,017 577,935,052 288,967,526 144,483,763 433,451,290 216,725,645 650,176,936 325,088,468 162,544,234 81,272,117 243,816,352 121,908,176 60,954,088 30,477,044 15,238,522 7,619,261 22,857,784 11,428,892 5,714,446 2,857,223 8,571,670 4,285,835 12,857,506 6,428,753 19,286,260 9,643,130 4,821,565 14,464,696 7,232,348 3,616,174 1,808,087 5,424,262 2,712,131 8,136,394 4,068,197 12,204,592 6,102,296 3,051,148 1,525,574 762,787 2,288,362 1,144,181 3,432,544 1,716,272 858,136 429,068 214,534 107,267 321,802 160,901 482,704 241,352 120,676 60,338 30,169 90,508

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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