λ
Harmonic Matrix

3,743,907

3 × 1247969
Deficient Odd Composite

3,743,907 has digital root 6. The neighboring primes are 3743903 and 3743959; its proper-divisor sum differs from the starting integer by -2,495,934.

Prime Factor Structure

Factorization String 3 × 1247969
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,991,880
Proper Divisor Sum 1,247,973
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3743903 ← → #3743959

Radix Representation

Decimal 3743907
Binary 1110010010000010100011 (22 bits)
Octal 0o16220243
Hexadecimal 0x3920A3

Divisor Catalog (4)

1 3 1,247,969 3,743,907

Collatz Trajectory (128 steps to reach 1)

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

3,743,907 11,231,722 5,615,861 16,847,584 8,423,792 4,211,896 2,105,948 1,052,974 526,487 1,579,462 789,731 2,369,194 1,184,597 3,553,792 1,776,896 888,448 444,224 222,112 111,056 55,528 27,764 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

More profiles

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