λ
Sigma Notebook

8,358,736

24 × 53 × 9857
Deficient Even Composite

8,358,736 is even and not a perfect square. Its factorization is 2^4 × 53 × 9857 and its 20 divisors sum to 16,502,292.

Prime Factor Structure

Factorization String 2^4 × 53 × 9857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,502,292
Proper Divisor Sum 8,143,556
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8358731 ← → #8358737

Radix Representation

Decimal 8358736
Binary 11111111000101101010000 (23 bits)
Octal 0o37705520
Hexadecimal 0x7F8B50

Divisor Catalog (20)

1 2 4 8 16 53 106 212 424 848 9,857 19,714 39,428 78,856 157,712 522,421 1,044,842 2,089,684 4,179,368 8,358,736

Collatz Trajectory (186 steps to reach 1)

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

8,358,736 4,179,368 2,089,684 1,044,842 522,421 1,567,264 783,632 391,816 195,908 97,954 48,977 146,932 73,466 36,733 110,200 55,100 27,550 13,775 41,326 20,663 61,990 30,995 92,986 46,493 139,480 69,740 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844

More profiles

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