λ
Match Zalai

3,201,406

2 × 13 × 17 × 7243
Deficient Even Composite

3,201,406 factors as 2 × 13 × 17 × 7243. Its 16 positive divisors give a proper-divisor sum of 2,275,058, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 7243
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,476,464
Proper Divisor Sum 2,275,058
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3201391 ← → #3201409

Radix Representation

Decimal 3201406
Binary 1100001101100101111110 (22 bits)
Octal 0o14154576
Hexadecimal 0x30D97E

Divisor Catalog (16)

1 2 13 17 26 34 221 442 7,243 14,486 94,159 123,131 188,318 246,262 1,600,703 3,201,406

Collatz Trajectory (94 steps to reach 1)

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

3,201,406 1,600,703 4,802,110 2,401,055 7,203,166 3,601,583 10,804,750 5,402,375 16,207,126 8,103,563 24,310,690 12,155,345 36,466,036 18,233,018 9,116,509 27,349,528 13,674,764 6,837,382 3,418,691 10,256,074 5,128,037 15,384,112 7,692,056 3,846,028 1,923,014 961,507 2,884,522 1,442,261 4,326,784 2,163,392 1,081,696 540,848 270,424 135,212 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388

More profiles

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