λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,296,535
21,296,535
3 × 5 × 132 × 31 × 271
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13^2 × 31 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,227,968
Proper Divisor Sum 16,931,433
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #21296533 ← → #21296537

Radix Representation

Decimal 21296535
Binary 1010001001111010110010111 (25 bits)
Octal 0o121172627
Hexadecimal 0x144F597

Divisor Catalog (48)

1 3 5 13 15 31 39 65 93 155 169 195 271 403 465 507 813 845 1,209 1,355 2,015 2,535 3,523 4,065 5,239 6,045 8,401 10,569 15,717 17,615 25,203 26,195 42,005 45,799 52,845 78,585 109,213 126,015 137,397 228,995 327,639 546,065 686,985 1,419,769 1,638,195 4,259,307 7,098,845 21,296,535

Collatz Trajectory (252 steps to reach 1)

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

21,296,535 63,889,606 31,944,803 95,834,410 47,917,205 143,751,616 71,875,808 35,937,904 17,968,952 8,984,476 4,492,238 2,246,119 6,738,358 3,369,179 10,107,538 5,053,769 15,161,308 7,580,654 3,790,327 11,370,982 5,685,491 17,056,474 8,528,237 25,584,712 12,792,356 6,396,178 3,198,089 9,594,268 4,797,134 2,398,567 7,195,702 3,597,851 10,793,554 5,396,777 16,190,332 8,095,166 4,047,583 12,142,750 6,071,375 18,214,126 9,107,063 27,321,190 13,660,595 40,981,786 20,490,893 61,472,680 30,736,340 15,368,170 7,684,085 23,052,256 11,526,128 5,763,064 2,881,532 1,440,766 720,383 2,161,150 1,080,575 3,241,726 1,620,863 4,862,590

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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