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Atlas › Integer Profiles › Node 3,758,544

3,758,544

24 × 32 × 43 × 607
Abundant Even Composite

3,758,544 factors as 2^4 × 3^2 × 43 × 607. Its 60 positive divisors give a proper-divisor sum of 7,022,512, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 43 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,781,056
Proper Divisor Sum 7,022,512
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3758539 ← → #3758569

Radix Representation

Decimal 3758544
Binary 1110010101100111010000 (22 bits)
Octal 0o16254720
Hexadecimal 0x3959D0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 607 688 774 1,032 1,214 1,548 1,821 2,064 2,428 3,096 3,642 4,856 5,463 6,192 7,284 9,712 10,926 14,568 21,852 26,101 29,136 43,704 52,202 78,303 87,408 104,404 156,606 208,808 234,909 313,212 417,616 469,818 626,424 939,636 1,252,848 1,879,272 3,758,544

Collatz Trajectory (172 steps to reach 1)

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

3,758,544 1,879,272 939,636 469,818 234,909 704,728 352,364 176,182 88,091 264,274 132,137 396,412 198,206 99,103 297,310 148,655 445,966 222,983 668,950 334,475 1,003,426 501,713 1,505,140 752,570 376,285 1,128,856 564,428 282,214 141,107 423,322 211,661 634,984 317,492 158,746 79,373 238,120 119,060 59,530 29,765 89,296 44,648 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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