λ
Ratio Atlas
Atlas › Integer Profiles › Node 34,398
34,398
2 × 33 × 72 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7^2 × 13
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 95,760
Proper Divisor Sum 61,362
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #34381 ← → #34403

Radix Representation

Decimal 34398
Binary 1000011001011110 (16 bits)
Octal 0o103136
Hexadecimal 0x865E

Divisor Catalog (48)

1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 702 819 882 1,274 1,323 1,638 1,911 2,457 2,646 3,822 4,914 5,733 11,466 17,199 34,398

Collatz Trajectory (67 steps to reach 1)

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

34,398 17,199 51,598 25,799 77,398 38,699 116,098 58,049 174,148 87,074 43,537 130,612 65,306 32,653 97,960 48,980 24,490 12,245 36,736 18,368 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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
← Previous Integer #34,397 Browse Full Index Next Integer #34,399 →