λ
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Atlas › Integer Profiles › Node 93,576,728

93,576,728

23 × 7 × 229 × 7297
Abundant Even Composite

93,576,728 factors as 2^3 × 7 × 229 × 7297. Its 32 positive divisors give a proper-divisor sum of 107,848,072, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 229 × 7297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 201,424,800
Proper Divisor Sum 107,848,072
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #93576727 ← → #93576733

Radix Representation

Decimal 93576728
Binary 101100100111101111000011000 (27 bits)
Octal 0o544757030
Hexadecimal 0x593DE18

Divisor Catalog (32)

1 2 4 7 8 14 28 56 229 458 916 1,603 1,832 3,206 6,412 7,297 12,824 14,594 29,188 51,079 58,376 102,158 204,316 408,632 1,671,013 3,342,026 6,684,052 11,697,091 13,368,104 23,394,182 46,788,364 93,576,728

Collatz Trajectory (156 steps to reach 1)

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

93,576,728 46,788,364 23,394,182 11,697,091 35,091,274 17,545,637 52,636,912 26,318,456 13,159,228 6,579,614 3,289,807 9,869,422 4,934,711 14,804,134 7,402,067 22,206,202 11,103,101 33,309,304 16,654,652 8,327,326 4,163,663 12,490,990 6,245,495 18,736,486 9,368,243 28,104,730 14,052,365 42,157,096 21,078,548 10,539,274 5,269,637 15,808,912 7,904,456 3,952,228 1,976,114 988,057 2,964,172 1,482,086 741,043 2,223,130 1,111,565 3,334,696 1,667,348 833,674 416,837 1,250,512 625,256 312,628 156,314 78,157 234,472 117,236 58,618 29,309 87,928 43,964 21,982 10,991 32,974 16,487

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