57,744,189

3² × 17 × 53 × 7121

57,744,189 factors as 3^2 × 17 × 53 × 7121. Its 24 positive divisors give a proper-divisor sum of 32,249,403, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 53 × 7121

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 89,993,592

Proper Divisor Sum 32,249,403

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #57744187 ← → #57744221

Radix Representation

Decimal	57744189
Binary	11011100010001101100111101 (26 bits)
Octal	0o334215475
Hexadecimal	0x3711B3D

Divisor Catalog (24)

Collatz Trajectory (176 steps to reach 1)

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

57,744,189 173,232,568 86,616,284 43,308,142 21,654,071 64,962,214 32,481,107 97,443,322 48,721,661 146,164,984 73,082,492 36,541,246 18,270,623 54,811,870 27,405,935 82,217,806 41,108,903 123,326,710 61,663,355 184,990,066 92,495,033 277,485,100 138,742,550 69,371,275 208,113,826 104,056,913 312,170,740 156,085,370 78,042,685 234,128,056 117,064,028 58,532,014 29,266,007 87,798,022 43,899,011 131,697,034 65,848,517 197,545,552 98,772,776 49,386,388 24,693,194 12,346,597 37,039,792 18,519,896 9,259,948 4,629,974 2,314,987 6,944,962 3,472,481 10,417,444 5,208,722 2,604,361 7,813,084 3,906,542 1,953,271 5,859,814 2,929,907 8,789,722 4,394,861 13,184,584

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