λ
Harmonic Matrix

3,380,854

2 × 1690427
Deficient Even Composite

3,380,854 has digital root 4. The neighboring primes are 3380837 and 3380857; its proper-divisor sum differs from the starting integer by -1,690,424.

Prime Factor Structure

Factorization String 2 × 1690427
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,071,284
Proper Divisor Sum 1,690,430
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3380837 ← → #3380857

Radix Representation

Decimal 3380854
Binary 1100111001011001110110 (22 bits)
Octal 0o14713166
Hexadecimal 0x339676

Divisor Catalog (4)

1 2 1,690,427 3,380,854

Collatz Trajectory (107 steps to reach 1)

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

3,380,854 1,690,427 5,071,282 2,535,641 7,606,924 3,803,462 1,901,731 5,705,194 2,852,597 8,557,792 4,278,896 2,139,448 1,069,724 534,862 267,431 802,294 401,147 1,203,442 601,721 1,805,164 902,582 451,291 1,353,874 676,937 2,030,812 1,015,406 507,703 1,523,110 761,555 2,284,666 1,142,333 3,427,000 1,713,500 856,750 428,375 1,285,126 642,563 1,927,690 963,845 2,891,536 1,445,768 722,884 361,442 180,721 542,164 271,082 135,541 406,624 203,312 101,656 50,828 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574

More profiles

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