λ
Prime Ledger

3,173,634

2 × 33 × 58771
Abundant Even Composite

3,173,634 has the prime decomposition 2 × 3^3 × 58771. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 58771
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,052,640
Proper Divisor Sum 3,879,006
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3173633 ← → #3173641

Radix Representation

Decimal 3173634
Binary 1100000110110100000010 (22 bits)
Octal 0o14066402
Hexadecimal 0x306D02

Divisor Catalog (16)

1 2 3 6 9 18 27 54 58,771 117,542 176,313 352,626 528,939 1,057,878 1,586,817 3,173,634

Collatz Trajectory (177 steps to reach 1)

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

3,173,634 1,586,817 4,760,452 2,380,226 1,190,113 3,570,340 1,785,170 892,585 2,677,756 1,338,878 669,439 2,008,318 1,004,159 3,012,478 1,506,239 4,518,718 2,259,359 6,778,078 3,389,039 10,167,118 5,083,559 15,250,678 7,625,339 22,876,018 11,438,009 34,314,028 17,157,014 8,578,507 25,735,522 12,867,761 38,603,284 19,301,642 9,650,821 28,952,464 14,476,232 7,238,116 3,619,058 1,809,529 5,428,588 2,714,294 1,357,147 4,071,442 2,035,721 6,107,164 3,053,582 1,526,791 4,580,374 2,290,187 6,870,562 3,435,281 10,305,844 5,152,922 2,576,461 7,729,384 3,864,692 1,932,346 966,173 2,898,520 1,449,260 724,630

More profiles

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