λ
Harmonic Matrix

3,952,492

22 × 487 × 2029
Deficient Even Composite

3,952,492 has digital root 7. The neighboring primes are 3952489 and 3952493; its proper-divisor sum differs from the starting integer by -970,504.

Prime Factor Structure

Factorization String 2^2 × 487 × 2029
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,934,480
Proper Divisor Sum 2,981,988
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3952489 ← → #3952493

Radix Representation

Decimal 3952492
Binary 1111000100111101101100 (22 bits)
Octal 0o17047554
Hexadecimal 0x3C4F6C

Divisor Catalog (12)

1 2 4 487 974 1,948 2,029 4,058 8,116 988,123 1,976,246 3,952,492

Collatz Trajectory (185 steps to reach 1)

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

3,952,492 1,976,246 988,123 2,964,370 1,482,185 4,446,556 2,223,278 1,111,639 3,334,918 1,667,459 5,002,378 2,501,189 7,503,568 3,751,784 1,875,892 937,946 468,973 1,406,920 703,460 351,730 175,865 527,596 263,798 131,899 395,698 197,849 593,548 296,774 148,387 445,162 222,581 667,744 333,872 166,936 83,468 41,734 20,867 62,602 31,301 93,904 46,952 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697

More profiles

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