λ
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Atlas › Integer Profiles › Node 8,907,112

8,907,112

23 × 59 × 113 × 167
Deficient Even Composite

8,907,112 factors as 2^3 × 59 × 113 × 167. Its 32 positive divisors give a proper-divisor sum of 8,329,688, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 59 × 113 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,236,800
Proper Divisor Sum 8,329,688
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8907077 ← → #8907113

Radix Representation

Decimal 8907112
Binary 100001111110100101101000 (24 bits)
Octal 0o41764550
Hexadecimal 0x87E968

Divisor Catalog (32)

1 2 4 8 59 113 118 167 226 236 334 452 472 668 904 1,336 6,667 9,853 13,334 18,871 19,706 26,668 37,742 39,412 53,336 75,484 78,824 150,968 1,113,389 2,226,778 4,453,556 8,907,112

Collatz Trajectory (212 steps to reach 1)

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

8,907,112 4,453,556 2,226,778 1,113,389 3,340,168 1,670,084 835,042 417,521 1,252,564 626,282 313,141 939,424 469,712 234,856 117,428 58,714 29,357 88,072 44,036 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590

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