λ
Harmonic Matrix

3,401,871

3 × 11 × 103087
Deficient Odd Composite

3,401,871 has digital root 6. The neighboring primes are 3401869 and 3401899; its proper-divisor sum differs from the starting integer by -1,855,518.

Prime Factor Structure

Factorization String 3 × 11 × 103087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,948,224
Proper Divisor Sum 1,546,353
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3401869 ← → #3401899

Radix Representation

Decimal 3401871
Binary 1100111110100010001111 (22 bits)
Octal 0o14764217
Hexadecimal 0x33E88F

Divisor Catalog (8)

1 3 11 33 103,087 309,261 1,133,957 3,401,871

Collatz Trajectory (327 steps to reach 1)

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

3,401,871 10,205,614 5,102,807 15,308,422 7,654,211 22,962,634 11,481,317 34,443,952 17,221,976 8,610,988 4,305,494 2,152,747 6,458,242 3,229,121 9,687,364 4,843,682 2,421,841 7,265,524 3,632,762 1,816,381 5,449,144 2,724,572 1,362,286 681,143 2,043,430 1,021,715 3,065,146 1,532,573 4,597,720 2,298,860 1,149,430 574,715 1,724,146 862,073 2,586,220 1,293,110 646,555 1,939,666 969,833 2,909,500 1,454,750 727,375 2,182,126 1,091,063 3,273,190 1,636,595 4,909,786 2,454,893 7,364,680 3,682,340 1,841,170 920,585 2,761,756 1,380,878 690,439 2,071,318 1,035,659 3,106,978 1,553,489 4,660,468

More profiles

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