λ
Harmonic Matrix

3,864,250

2 × 53 × 13 × 29 × 41
Abundant Even Composite

3,864,250 has digital root 1. The neighboring primes are 3864247 and 3864269; its proper-divisor sum differs from the starting integer by 527,020.

Prime Factor Structure

Factorization String 2 × 5^3 × 13 × 29 × 41
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,255,520
Proper Divisor Sum 4,391,270
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3864247 ← → #3864269

Radix Representation

Decimal 3864250
Binary 1110101111011010111010 (22 bits)
Octal 0o16573272
Hexadecimal 0x3AF6BA

Divisor Catalog (60 of 64)

1 2 5 10 13 25 26 29 41 50 58 65 82 125 130 145 205 250 290 325 377 410 533 650 725 754 1,025 1,066 1,189 1,450 1,625 1,885 2,050 2,378 2,665 3,250 3,625 3,770 5,125 5,330 5,945 7,250 9,425 10,250 11,890 13,325 15,457 18,850 26,650 29,725 30,914 47,125 59,450 66,625 77,285 94,250 133,250 148,625 154,570 297,250

Collatz Trajectory (154 steps to reach 1)

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

3,864,250 1,932,125 5,796,376 2,898,188 1,449,094 724,547 2,173,642 1,086,821 3,260,464 1,630,232 815,116 407,558 203,779 611,338 305,669 917,008 458,504 229,252 114,626 57,313 171,940 85,970 42,985 128,956 64,478 32,239 96,718 48,359 145,078 72,539 217,618 108,809 326,428 163,214 81,607 244,822 122,411 367,234 183,617 550,852 275,426 137,713 413,140 206,570 103,285 309,856 154,928 77,464 38,732 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514

More profiles

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