λ
Harmonic Matrix

3,241,743

3 × 373 × 2897
Deficient Odd Composite

3,241,743 has digital root 6. The neighboring primes are 3241739 and 3241753; its proper-divisor sum differs from the starting integer by -2,148,078.

Prime Factor Structure

Factorization String 3 × 373 × 2897
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,335,408
Proper Divisor Sum 1,093,665
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3241739 ← → #3241753

Radix Representation

Decimal 3241743
Binary 1100010111011100001111 (22 bits)
Octal 0o14273417
Hexadecimal 0x31770F

Divisor Catalog (8)

1 3 373 1,119 2,897 8,691 1,080,581 3,241,743

Collatz Trajectory (115 steps to reach 1)

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

3,241,743 9,725,230 4,862,615 14,587,846 7,293,923 21,881,770 10,940,885 32,822,656 16,411,328 8,205,664 4,102,832 2,051,416 1,025,708 512,854 256,427 769,282 384,641 1,153,924 576,962 288,481 865,444 432,722 216,361 649,084 324,542 162,271 486,814 243,407 730,222 365,111 1,095,334 547,667 1,643,002 821,501 2,464,504 1,232,252 616,126 308,063 924,190 462,095 1,386,286 693,143 2,079,430 1,039,715 3,119,146 1,559,573 4,678,720 2,339,360 1,169,680 584,840 292,420 146,210 73,105 219,316 109,658 54,829 164,488 82,244 41,122 20,561

More profiles

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