3,703,243

41² × 2203

3,703,243 has digital root 4. The neighboring primes are 3703241 and 3703267; its proper-divisor sum differs from the starting integer by -3,608,994.

Prime Factor Structure

Factorization String 41^2 × 2203

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,797,492

Proper Divisor Sum 94,249

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3703241 ← → #3703267

Radix Representation

Decimal	3703243
Binary	1110001000000111001011 (22 bits)
Octal	0o16100713
Hexadecimal	0x3881CB

Divisor Catalog (6)

1 41 1,681 2,203 90,323 3,703,243

Collatz Trajectory (164 steps to reach 1)

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

3,703,243 11,109,730 5,554,865 16,664,596 8,332,298 4,166,149 12,498,448 6,249,224 3,124,612 1,562,306 781,153 2,343,460 1,171,730 585,865 1,757,596 878,798 439,399 1,318,198 659,099 1,977,298 988,649 2,965,948 1,482,974 741,487 2,224,462 1,112,231 3,336,694 1,668,347 5,005,042 2,502,521 7,507,564 3,753,782 1,876,891 5,630,674 2,815,337 8,446,012 4,223,006 2,111,503 6,334,510 3,167,255 9,501,766 4,750,883 14,252,650 7,126,325 21,378,976 10,689,488 5,344,744 2,672,372 1,336,186 668,093 2,004,280 1,002,140 501,070 250,535 751,606 375,803 1,127,410 563,705 1,691,116 845,558

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