3,000,357

3² × 389 × 857

3,000,357 factors as 3^2 × 389 × 857. Its 12 positive divisors give a proper-divisor sum of 1,349,703, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3^2 × 389 × 857

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,350,060

Proper Divisor Sum 1,349,703

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3000343 ← → #3000359

Radix Representation

Decimal	3000357
Binary	1011011100100000100101 (22 bits)
Octal	0o13344045
Hexadecimal	0x2DC825

Divisor Catalog (12)

1 3 9 389 857 1,167 2,571 3,501 7,713 333,373 1,000,119 3,000,357

Collatz Trajectory (151 steps to reach 1)

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

3,000,357 9,001,072 4,500,536 2,250,268 1,125,134 562,567 1,687,702 843,851 2,531,554 1,265,777 3,797,332 1,898,666 949,333 2,848,000 1,424,000 712,000 356,000 178,000 89,000 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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