λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,102,467
97,102,467
32 × 72 × 11 × 37 × 541
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11 × 37 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 183,139,632
Proper Divisor Sum 86,037,165
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #97102463 ← → #97102477

Radix Representation

Decimal 97102467
Binary 101110010011010101010000011 (27 bits)
Octal 0o562325203
Hexadecimal 0x5C9AA83

Divisor Catalog (60 of 72)

1 3 7 9 11 21 33 37 49 63 77 99 111 147 231 259 333 407 441 539 541 693 777 1,221 1,617 1,623 1,813 2,331 2,849 3,663 3,787 4,851 4,869 5,439 5,951 8,547 11,361 16,317 17,853 19,943 20,017 25,641 26,509 34,083 41,657 53,559 59,829 60,051 79,527 124,971 140,119 179,487 180,153 220,187 238,581 291,599 374,913 420,357 660,561 874,797

Collatz Trajectory (156 steps to reach 1)

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

97,102,467 291,307,402 145,653,701 436,961,104 218,480,552 109,240,276 54,620,138 27,310,069 81,930,208 40,965,104 20,482,552 10,241,276 5,120,638 2,560,319 7,680,958 3,840,479 11,521,438 5,760,719 17,282,158 8,641,079 25,923,238 12,961,619 38,884,858 19,442,429 58,327,288 29,163,644 14,581,822 7,290,911 21,872,734 10,936,367 32,809,102 16,404,551 49,213,654 24,606,827 73,820,482 36,910,241 110,730,724 55,365,362 27,682,681 83,048,044 41,524,022 20,762,011 62,286,034 31,143,017 93,429,052 46,714,526 23,357,263 70,071,790 35,035,895 105,107,686 52,553,843 157,661,530 78,830,765 236,492,296 118,246,148 59,123,074 29,561,537 88,684,612 44,342,306 22,171,153

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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