λ
Harmonic Matrix

5,784,852

22 × 3 × 482071
Abundant Even Composite

5,784,852 has digital root 3. The neighboring primes are 5784841 and 5784853; its proper-divisor sum differs from the starting integer by 1,928,312.

Prime Factor Structure

Factorization String 2^2 × 3 × 482071
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,498,016
Proper Divisor Sum 7,713,164
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5784841 ← → #5784853

Radix Representation

Decimal 5784852
Binary 10110000100010100010100 (23 bits)
Octal 0o26042424
Hexadecimal 0x584514

Divisor Catalog (12)

1 2 3 4 6 12 482,071 964,142 1,446,213 1,928,284 2,892,426 5,784,852

Collatz Trajectory (121 steps to reach 1)

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

5,784,852 2,892,426 1,446,213 4,338,640 2,169,320 1,084,660 542,330 271,165 813,496 406,748 203,374 101,687 305,062 152,531 457,594 228,797 686,392 343,196 171,598 85,799 257,398 128,699 386,098 193,049 579,148 289,574 144,787 434,362 217,181 651,544 325,772 162,886 81,443 244,330 122,165 366,496 183,248 91,624 45,812 22,906 11,453 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118

More profiles

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