λ
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Atlas › Integer Profiles › Node 967,232

967,232

26 × 7 × 17 × 127
Abundant Even Composite

967,232 factors as 2^6 × 7 × 17 × 127. Its 56 positive divisors give a proper-divisor sum of 1,373,632, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 17 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 2,340,864
Proper Divisor Sum 1,373,632
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #967229 ← → #967259

Radix Representation

Decimal 967232
Binary 11101100001001000000 (20 bits)
Octal 0o3541100
Hexadecimal 0xEC240

Divisor Catalog (56)

1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 127 136 224 238 254 272 448 476 508 544 889 952 1,016 1,088 1,778 1,904 2,032 2,159 3,556 3,808 4,064 4,318 7,112 7,616 8,128 8,636 14,224 15,113 17,272 28,448 30,226 34,544 56,896 60,452 69,088 120,904 138,176 241,808 483,616 967,232

Collatz Trajectory (95 steps to reach 1)

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

967,232 483,616 241,808 120,904 60,452 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025

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