3,133,138

2 × 19 × 41 × 2011

3,133,138 factors as 2 × 19 × 41 × 2011. Its 16 positive divisors give a proper-divisor sum of 1,937,102, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 19 × 41 × 2011

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,070,240

Proper Divisor Sum 1,937,102

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3133111 ← → #3133153

Radix Representation

Decimal	3133138
Binary	1011111100111011010010 (22 bits)
Octal	0o13747322
Hexadecimal	0x2FCED2

Divisor Catalog (16)

1 2 19 38 41 82 779 1,558 2,011 4,022 38,209 76,418 82,451 164,902 1,566,569 3,133,138

Collatz Trajectory (164 steps to reach 1)

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

3,133,138 1,566,569 4,699,708 2,349,854 1,174,927 3,524,782 1,762,391 5,287,174 2,643,587 7,930,762 3,965,381 11,896,144 5,948,072 2,974,036 1,487,018 743,509 2,230,528 1,115,264 557,632 278,816 139,408 69,704 34,852 17,426 8,713 26,140 13,070 6,535 19,606 9,803 29,410 14,705 44,116 22,058 11,029 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94

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