λ
Sigma Notebook

3,181,629

3 × 11 × 67 × 1439
Deficient Odd Composite

3,181,629 is odd and not a perfect square. Its factorization is 3 × 11 × 67 × 1439 and its 16 divisors sum to 4,700,160.

Prime Factor Structure

Factorization String 3 × 11 × 67 × 1439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,700,160
Proper Divisor Sum 1,518,531
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3181627 ← → #3181637

Radix Representation

Decimal 3181629
Binary 1100001000110000111101 (22 bits)
Octal 0o14106075
Hexadecimal 0x308C3D

Divisor Catalog (16)

1 3 11 33 67 201 737 1,439 2,211 4,317 15,829 47,487 96,413 289,239 1,060,543 3,181,629

Collatz Trajectory (164 steps to reach 1)

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

3,181,629 9,544,888 4,772,444 2,386,222 1,193,111 3,579,334 1,789,667 5,369,002 2,684,501 8,053,504 4,026,752 2,013,376 1,006,688 503,344 251,672 125,836 62,918 31,459 94,378 47,189 141,568 70,784 35,392 17,696 8,848 4,424 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94

More profiles

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