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Atlas › Integer Profiles › Node 6,573,700

6,573,700

22 × 52 × 7 × 9391
Abundant Even Composite

6,573,700 factors as 2^2 × 5^2 × 7 × 9391. Its 36 positive divisors give a proper-divisor sum of 9,730,812, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 9391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,304,512
Proper Divisor Sum 9,730,812
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6573689 ← → #6573701

Radix Representation

Decimal 6573700
Binary 11001000100111010000100 (23 bits)
Octal 0o31047204
Hexadecimal 0x644E84

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 9,391 18,782 37,564 46,955 65,737 93,910 131,474 187,820 234,775 262,948 328,685 469,550 657,370 939,100 1,314,740 1,643,425 3,286,850 6,573,700

Collatz Trajectory (196 steps to reach 1)

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

6,573,700 3,286,850 1,643,425 4,930,276 2,465,138 1,232,569 3,697,708 1,848,854 924,427 2,773,282 1,386,641 4,159,924 2,079,962 1,039,981 3,119,944 1,559,972 779,986 389,993 1,169,980 584,990 292,495 877,486 438,743 1,316,230 658,115 1,974,346 987,173 2,961,520 1,480,760 740,380 370,190 185,095 555,286 277,643 832,930 416,465 1,249,396 624,698 312,349 937,048 468,524 234,262 117,131 351,394 175,697 527,092 263,546 131,773 395,320 197,660 98,830 49,415 148,246 74,123 222,370 111,185 333,556 166,778 83,389 250,168

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