57,764,324

2² × 101 × 142981

57,764,324 factors as 2^2 × 101 × 142981. Its 12 positive divisors give a proper-divisor sum of 44,324,824, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 101 × 142981

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 102,089,148

Proper Divisor Sum 44,324,824

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #57764323 ← → #57764341

Radix Representation

Decimal	57764324
Binary	11011100010110100111100100 (26 bits)
Octal	0o334264744
Hexadecimal	0x37169E4

Divisor Catalog (12)

1 2 4 101 202 404 142,981 285,962 571,924 14,441,081 28,882,162 57,764,324

Collatz Trajectory (145 steps to reach 1)

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

57,764,324 28,882,162 14,441,081 43,323,244 21,661,622 10,830,811 32,492,434 16,246,217 48,738,652 24,369,326 12,184,663 36,553,990 18,276,995 54,830,986 27,415,493 82,246,480 41,123,240 20,561,620 10,280,810 5,140,405 15,421,216 7,710,608 3,855,304 1,927,652 963,826 481,913 1,445,740 722,870 361,435 1,084,306 542,153 1,626,460 813,230 406,615 1,219,846 609,923 1,829,770 914,885 2,744,656 1,372,328 686,164 343,082 171,541 514,624 257,312 128,656 64,328 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072

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