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Atlas › Integer Profiles › Node 96,794,432

96,794,432

26 × 7 × 47 × 4597
Abundant Even Composite

96,794,432 factors as 2^6 × 7 × 47 × 4597. Its 56 positive divisors give a proper-divisor sum of 127,440,832, so this integer is abundant. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 47 × 4597
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 224,235,264
Proper Divisor Sum 127,440,832
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #96794393 ← → #96794443

Radix Representation

Decimal 96794432
Binary 101110001001111011101000000 (27 bits)
Octal 0o561173500
Hexadecimal 0x5C4F740

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1,316 1,504 2,632 3,008 4,597 5,264 9,194 10,528 18,388 21,056 32,179 36,776 64,358 73,552 128,716 147,104 216,059 257,432 294,208 432,118 514,864 864,236 1,029,728 1,512,413 1,728,472 2,059,456 3,024,826 3,456,944 6,049,652 6,913,888 12,099,304 13,827,776 24,198,608 48,397,216 96,794,432

Collatz Trajectory (231 steps to reach 1)

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

96,794,432 48,397,216 24,198,608 12,099,304 6,049,652 3,024,826 1,512,413 4,537,240 2,268,620 1,134,310 567,155 1,701,466 850,733 2,552,200 1,276,100 638,050 319,025 957,076 478,538 239,269 717,808 358,904 179,452 89,726 44,863 134,590 67,295 201,886 100,943 302,830 151,415 454,246 227,123 681,370 340,685 1,022,056 511,028 255,514 127,757 383,272 191,636 95,818 47,909 143,728 71,864 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843

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