λ
Sigma Notebook

8,896,836

22 × 3 × 132 × 41 × 107
Abundant Even Composite

8,896,836 is even and not a perfect square. Its factorization is 2^2 × 3 × 13^2 × 41 × 107 and its 72 divisors sum to 23,242,464.

Prime Factor Structure

Factorization String 2^2 × 3 × 13^2 × 41 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 23,242,464
Proper Divisor Sum 14,345,628
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8896813 ← → #8896841

Radix Representation

Decimal 8896836
Binary 100001111100000101000100 (24 bits)
Octal 0o41740504
Hexadecimal 0x87C144

Divisor Catalog (60 of 72)

1 2 3 4 6 12 13 26 39 41 52 78 82 107 123 156 164 169 214 246 321 338 428 492 507 533 642 676 1,014 1,066 1,284 1,391 1,599 2,028 2,132 2,782 3,198 4,173 4,387 5,564 6,396 6,929 8,346 8,774 13,161 13,858 16,692 17,548 18,083 20,787 26,322 27,716 36,166 41,574 52,644 54,249 57,031 72,332 83,148 108,498

Collatz Trajectory (88 steps to reach 1)

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

8,896,836 4,448,418 2,224,209 6,672,628 3,336,314 1,668,157 5,004,472 2,502,236 1,251,118 625,559 1,876,678 938,339 2,815,018 1,407,509 4,222,528 2,111,264 1,055,632 527,816 263,908 131,954 65,977 197,932 98,966 49,483 148,450 74,225 222,676 111,338 55,669 167,008 83,504 41,752 20,876 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262

More profiles

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