λ
Harmonic Matrix

3,907,989

32 × 434221
Deficient Odd Composite

3,907,989 has digital root 9. The neighboring primes are 3907987 and 3907991; its proper-divisor sum differs from the starting integer by -2,171,092.

Prime Factor Structure

Factorization String 3^2 × 434221
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,644,886
Proper Divisor Sum 1,736,897
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3907987 ← → #3907991

Radix Representation

Decimal 3907989
Binary 1110111010000110010101 (22 bits)
Octal 0o16720625
Hexadecimal 0x3BA195

Divisor Catalog (6)

1 3 9 434,221 1,302,663 3,907,989

Collatz Trajectory (92 steps to reach 1)

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

3,907,989 11,723,968 5,861,984 2,930,992 1,465,496 732,748 366,374 183,187 549,562 274,781 824,344 412,172 206,086 103,043 309,130 154,565 463,696 231,848 115,924 57,962 28,981 86,944 43,472 21,736 10,868 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692

More profiles

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