λ
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7,965,232

24 × 11 × 167 × 271
Abundant Even Composite

7,965,232 factors as 2^4 × 11 × 167 × 271. Its 40 positive divisors give a proper-divisor sum of 9,033,680, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 167 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,998,912
Proper Divisor Sum 9,033,680
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7965229 ← → #7965241

Radix Representation

Decimal 7965232
Binary 11110011000101000110000 (23 bits)
Octal 0o36305060
Hexadecimal 0x798A30

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 167 176 271 334 542 668 1,084 1,336 1,837 2,168 2,672 2,981 3,674 4,336 5,962 7,348 11,924 14,696 23,848 29,392 45,257 47,696 90,514 181,028 362,056 497,827 724,112 995,654 1,991,308 3,982,616 7,965,232

Collatz Trajectory (217 steps to reach 1)

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

7,965,232 3,982,616 1,991,308 995,654 497,827 1,493,482 746,741 2,240,224 1,120,112 560,056 280,028 140,014 70,007 210,022 105,011 315,034 157,517 472,552 236,276 118,138 59,069 177,208 88,604 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543

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