λ
Harmonic Matrix

3,889,825

52 × 155593
Deficient Odd Composite

3,889,825 has digital root 7. The neighboring primes are 3889817 and 3889843; its proper-divisor sum differs from the starting integer by -2,956,236.

Prime Factor Structure

Factorization String 5^2 × 155593
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,823,414
Proper Divisor Sum 933,589
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3889817 ← → #3889843

Radix Representation

Decimal 3889825
Binary 1110110101101010100001 (22 bits)
Octal 0o16655241
Hexadecimal 0x3B5AA1

Divisor Catalog (6)

1 5 25 155,593 777,965 3,889,825

Collatz Trajectory (203 steps to reach 1)

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

3,889,825 11,669,476 5,834,738 2,917,369 8,752,108 4,376,054 2,188,027 6,564,082 3,282,041 9,846,124 4,923,062 2,461,531 7,384,594 3,692,297 11,076,892 5,538,446 2,769,223 8,307,670 4,153,835 12,461,506 6,230,753 18,692,260 9,346,130 4,673,065 14,019,196 7,009,598 3,504,799 10,514,398 5,257,199 15,771,598 7,885,799 23,657,398 11,828,699 35,486,098 17,743,049 53,229,148 26,614,574 13,307,287 39,921,862 19,960,931 59,882,794 29,941,397 89,824,192 44,912,096 22,456,048 11,228,024 5,614,012 2,807,006 1,403,503 4,210,510 2,105,255 6,315,766 3,157,883 9,473,650 4,736,825 14,210,476 7,105,238 3,552,619 10,657,858 5,328,929

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