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Atlas › Integer Profiles › Node 6,842,016

6,842,016

25 × 33 × 7919
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 7919
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,958,400
Proper Divisor Sum 13,116,384
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6841993 ← → #6842021

Radix Representation

Decimal 6842016
Binary 11010000110011010100000 (23 bits)
Octal 0o32063240
Hexadecimal 0x6866A0

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 7,919 15,838 23,757 31,676 47,514 63,352 71,271 95,028 126,704 142,542 190,056 213,813 253,408 285,084 380,112 427,626 570,168 760,224 855,252 1,140,336 1,710,504 2,280,672 3,421,008 6,842,016

Collatz Trajectory (103 steps to reach 1)

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

6,842,016 3,421,008 1,710,504 855,252 427,626 213,813 641,440 320,720 160,360 80,180 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

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