λ
Sigma Notebook

8,557,952

27 × 13 × 37 × 139
Abundant Even Composite

8,557,952 is even and not a perfect square. Its factorization is 2^7 × 13 × 37 × 139 and its 64 divisors sum to 18,992,400.

Prime Factor Structure

Factorization String 2^7 × 13 × 37 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,992,400
Proper Divisor Sum 10,434,448
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8557937 ← → #8557981

Radix Representation

Decimal 8557952
Binary 100000101001010110000000 (24 bits)
Octal 0o40512600
Hexadecimal 0x829580

Divisor Catalog (60 of 64)

1 2 4 8 13 16 26 32 37 52 64 74 104 128 139 148 208 278 296 416 481 556 592 832 962 1,112 1,184 1,664 1,807 1,924 2,224 2,368 3,614 3,848 4,448 4,736 5,143 7,228 7,696 8,896 10,286 14,456 15,392 17,792 20,572 28,912 30,784 41,144 57,824 61,568 66,859 82,288 115,648 133,718 164,576 231,296 267,436 329,152 534,872 658,304

Collatz Trajectory (75 steps to reach 1)

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

8,557,952 4,278,976 2,139,488 1,069,744 534,872 267,436 133,718 66,859 200,578 100,289 300,868 150,434 75,217 225,652 112,826 56,413 169,240 84,620 42,310 21,155 63,466 31,733 95,200 47,600 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7

More profiles

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