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Atlas › Integer Profiles › Node 6,787,152

6,787,152

24 × 34 × 5237
Abundant Even Composite

6,787,152 factors as 2^4 × 3^4 × 5237. Its 50 positive divisors give a proper-divisor sum of 12,860,586, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5237
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 19,647,738
Proper Divisor Sum 12,860,586
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6787147 ← → #6787211

Radix Representation

Decimal 6787152
Binary 11001111001000001010000 (23 bits)
Octal 0o31710120
Hexadecimal 0x679050

Divisor Catalog (50)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1,296 5,237 10,474 15,711 20,948 31,422 41,896 47,133 62,844 83,792 94,266 125,688 141,399 188,532 251,376 282,798 377,064 424,197 565,596 754,128 848,394 1,131,192 1,696,788 2,262,384 3,393,576 6,787,152

Collatz Trajectory (85 steps to reach 1)

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

6,787,152 3,393,576 1,696,788 848,394 424,197 1,272,592 636,296 318,148 159,074 79,537 238,612 119,306 59,653 178,960 89,480 44,740 22,370 11,185 33,556 16,778 8,389 25,168 12,584 6,292 3,146 1,573 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202

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