λ
Harmonic Matrix

3,909,572

22 × 463 × 2111
Deficient Even Composite

3,909,572 has digital root 8. The neighboring primes are 3909559 and 3909589; its proper-divisor sum differs from the starting integer by -959,368.

Prime Factor Structure

Factorization String 2^2 × 463 × 2111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,859,776
Proper Divisor Sum 2,950,204
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3909559 ← → #3909589

Radix Representation

Decimal 3909572
Binary 1110111010011111000100 (22 bits)
Octal 0o16723704
Hexadecimal 0x3BA7C4

Divisor Catalog (12)

1 2 4 463 926 1,852 2,111 4,222 8,444 977,393 1,954,786 3,909,572

Collatz Trajectory (92 steps to reach 1)

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

3,909,572 1,954,786 977,393 2,932,180 1,466,090 733,045 2,199,136 1,099,568 549,784 274,892 137,446 68,723 206,170 103,085 309,256 154,628 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 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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