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Atlas › Integer Profiles › Node 96,258,472

96,258,472

23 × 31 × 487 × 797
Deficient Even Composite

96,258,472 factors as 2^3 × 31 × 487 × 797. Its 32 positive divisors give a proper-divisor sum of 90,665,048, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 487 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 186,923,520
Proper Divisor Sum 90,665,048
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #96258469 ← → #96258493

Radix Representation

Decimal 96258472
Binary 101101111001100100110101000 (27 bits)
Octal 0o557144650
Hexadecimal 0x5BCC9A8

Divisor Catalog (32)

1 2 4 8 31 62 124 248 487 797 974 1,594 1,948 3,188 3,896 6,376 15,097 24,707 30,194 49,414 60,388 98,828 120,776 197,656 388,139 776,278 1,552,556 3,105,112 12,032,309 24,064,618 48,129,236 96,258,472

Collatz Trajectory (169 steps to reach 1)

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

96,258,472 48,129,236 24,064,618 12,032,309 36,096,928 18,048,464 9,024,232 4,512,116 2,256,058 1,128,029 3,384,088 1,692,044 846,022 423,011 1,269,034 634,517 1,903,552 951,776 475,888 237,944 118,972 59,486 29,743 89,230 44,615 133,846 66,923 200,770 100,385 301,156 150,578 75,289 225,868 112,934 56,467 169,402 84,701 254,104 127,052 63,526 31,763 95,290 47,645 142,936 71,468 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827

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