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Atlas › Integer Profiles › Node 38,096,680

38,096,680

23 × 5 × 37 × 25741
Abundant Even Composite

38,096,680 factors as 2^3 × 5 × 37 × 25741. Its 32 positive divisors give a proper-divisor sum of 49,940,960, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 37 × 25741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,037,640
Proper Divisor Sum 49,940,960
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #38096659 ← → #38096693

Radix Representation

Decimal 38096680
Binary 10010001010100111100101000 (26 bits)
Octal 0o221247450
Hexadecimal 0x2454F28

Divisor Catalog (32)

1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1,480 25,741 51,482 102,964 128,705 205,928 257,410 514,820 952,417 1,029,640 1,904,834 3,809,668 4,762,085 7,619,336 9,524,170 19,048,340 38,096,680

Collatz Trajectory (165 steps to reach 1)

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

38,096,680 19,048,340 9,524,170 4,762,085 14,286,256 7,143,128 3,571,564 1,785,782 892,891 2,678,674 1,339,337 4,018,012 2,009,006 1,004,503 3,013,510 1,506,755 4,520,266 2,260,133 6,780,400 3,390,200 1,695,100 847,550 423,775 1,271,326 635,663 1,906,990 953,495 2,860,486 1,430,243 4,290,730 2,145,365 6,436,096 3,218,048 1,609,024 804,512 402,256 201,128 100,564 50,282 25,141 75,424 37,712 18,856 9,428 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188

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