2,200,172

2² × 13 × 29 × 1459

2,200,172 has the prime decomposition 2^2 × 13 × 29 × 1459. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 1459

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,292,400

Proper Divisor Sum 2,092,228

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #2200153 ← → #2200193

Radix Representation

Decimal	2200172
Binary	1000011001001001101100 (22 bits)
Octal	0o10311154
Hexadecimal	0x21926C

Divisor Catalog (24)

1 2 4 13 26 29 52 58 116 377 754 1,459 1,508 2,918 5,836 18,967 37,934 42,311 75,868 84,622 169,244 550,043 1,100,086 2,200,172

Collatz Trajectory (210 steps to reach 1)

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

2,200,172 1,100,086 550,043 1,650,130 825,065 2,475,196 1,237,598 618,799 1,856,398 928,199 2,784,598 1,392,299 4,176,898 2,088,449 6,265,348 3,132,674 1,566,337 4,699,012 2,349,506 1,174,753 3,524,260 1,762,130 881,065 2,643,196 1,321,598 660,799 1,982,398 991,199 2,973,598 1,486,799 4,460,398 2,230,199 6,690,598 3,345,299 10,035,898 5,017,949 15,053,848 7,526,924 3,763,462 1,881,731 5,645,194 2,822,597 8,467,792 4,233,896 2,116,948 1,058,474 529,237 1,587,712 793,856 396,928 198,464 99,232 49,616 24,808 12,404 6,202 3,101 9,304 4,652 2,326

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