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Atlas › Integer Profiles › Node 6,500,536

6,500,536

23 × 73 × 23 × 103
Abundant Even Composite

6,500,536 factors as 2^3 × 7^3 × 23 × 103. Its 64 positive divisors give a proper-divisor sum of 8,475,464, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^3 × 7^3 × 23 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,976,000
Proper Divisor Sum 8,475,464
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6500531 ← → #6500537

Radix Representation

Decimal 6500536
Binary 11000110011000010111000 (23 bits)
Octal 0o30630270
Hexadecimal 0x6330B8

Divisor Catalog (60 of 64)

1 2 4 7 8 14 23 28 46 49 56 92 98 103 161 184 196 206 322 343 392 412 644 686 721 824 1,127 1,288 1,372 1,442 2,254 2,369 2,744 2,884 4,508 4,738 5,047 5,768 7,889 9,016 9,476 10,094 15,778 16,583 18,952 20,188 31,556 33,166 35,329 40,376 63,112 66,332 70,658 116,081 132,664 141,316 232,162 282,632 464,324 812,567

Collatz Trajectory (64 steps to reach 1)

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

6,500,536 3,250,268 1,625,134 812,567 2,437,702 1,218,851 3,656,554 1,828,277 5,484,832 2,742,416 1,371,208 685,604 342,802 171,401 514,204 257,102 128,551 385,654 192,827 578,482 289,241 867,724 433,862 216,931 650,794 325,397 976,192 488,096 244,048 122,024 61,012 30,506 15,253 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32

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