λ
Math Directory

9,356,352

26 × 3 × 48731
Abundant Even Composite

9,356,352 factors as 2^6 × 3 × 48731. Its 28 positive divisors give a proper-divisor sum of 15,399,504, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 48731
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 24,755,856
Proper Divisor Sum 15,399,504
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9356351 ← → #9356371

Radix Representation

Decimal 9356352
Binary 100011101100010001000000 (24 bits)
Octal 0o43542100
Hexadecimal 0x8EC440

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 48,731 97,462 146,193 194,924 292,386 389,848 584,772 779,696 1,169,544 1,559,392 2,339,088 3,118,784 4,678,176 9,356,352

Collatz Trajectory (163 steps to reach 1)

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

9,356,352 4,678,176 2,339,088 1,169,544 584,772 292,386 146,193 438,580 219,290 109,645 328,936 164,468 82,234 41,117 123,352 61,676 30,838 15,419 46,258 23,129 69,388 34,694 17,347 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47

More profiles

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