λ
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Atlas › Integer Profiles › Node 10,608,232

10,608,232

23 × 19 × 101 × 691
Deficient Even Composite

10,608,232 factors as 2^3 × 19 × 101 × 691. Its 32 positive divisors give a proper-divisor sum of 10,566,968, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 101 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,175,200
Proper Divisor Sum 10,566,968
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10608223 ← → #10608239

Radix Representation

Decimal 10608232
Binary 101000011101111001101000 (24 bits)
Octal 0o50357150
Hexadecimal 0xA1DE68

Divisor Catalog (32)

1 2 4 8 19 38 76 101 152 202 404 691 808 1,382 1,919 2,764 3,838 5,528 7,676 13,129 15,352 26,258 52,516 69,791 105,032 139,582 279,164 558,328 1,326,029 2,652,058 5,304,116 10,608,232

Collatz Trajectory (70 steps to reach 1)

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

10,608,232 5,304,116 2,652,058 1,326,029 3,978,088 1,989,044 994,522 497,261 1,491,784 745,892 372,946 186,473 559,420 279,710 139,855 419,566 209,783 629,350 314,675 944,026 472,013 1,416,040 708,020 354,010 177,005 531,016 265,508 132,754 66,377 199,132 99,566 49,783 149,350 74,675 224,026 112,013 336,040 168,020 84,010 42,005 126,016 63,008 31,504 15,752 7,876 3,938 1,969 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52

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