λ
Harmonic Matrix

3,805,572

22 × 3 × 307 × 1033
Abundant Even Composite

3,805,572 has digital root 3. The neighboring primes are 3805547 and 3805573; its proper-divisor sum differs from the starting integer by 1,306,072.

Prime Factor Structure

Factorization String 2^2 × 3 × 307 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,917,216
Proper Divisor Sum 5,111,644
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3805547 ← → #3805573

Radix Representation

Decimal 3805572
Binary 1110100001000110000100 (22 bits)
Octal 0o16410604
Hexadecimal 0x3A1184

Divisor Catalog (24)

1 2 3 4 6 12 307 614 921 1,033 1,228 1,842 2,066 3,099 3,684 4,132 6,198 12,396 317,131 634,262 951,393 1,268,524 1,902,786 3,805,572

Collatz Trajectory (79 steps to reach 1)

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

3,805,572 1,902,786 951,393 2,854,180 1,427,090 713,545 2,140,636 1,070,318 535,159 1,605,478 802,739 2,408,218 1,204,109 3,612,328 1,806,164 903,082 451,541 1,354,624 677,312 338,656 169,328 84,664 42,332 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

More profiles

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