λ
Harmonic Matrix

3,605,771

13 × 61 × 4547
Deficient Odd Composite

3,605,771 has digital root 2. The neighboring primes are 3605759 and 3605783; its proper-divisor sum differs from the starting integer by -3,263,878.

Prime Factor Structure

Factorization String 13 × 61 × 4547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,947,664
Proper Divisor Sum 341,893
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3605759 ← → #3605783

Radix Representation

Decimal 3605771
Binary 1101110000010100001011 (22 bits)
Octal 0o15602413
Hexadecimal 0x37050B

Divisor Catalog (8)

1 13 61 793 4,547 59,111 277,367 3,605,771

Collatz Trajectory (115 steps to reach 1)

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

3,605,771 10,817,314 5,408,657 16,225,972 8,112,986 4,056,493 12,169,480 6,084,740 3,042,370 1,521,185 4,563,556 2,281,778 1,140,889 3,422,668 1,711,334 855,667 2,567,002 1,283,501 3,850,504 1,925,252 962,626 481,313 1,443,940 721,970 360,985 1,082,956 541,478 270,739 812,218 406,109 1,218,328 609,164 304,582 152,291 456,874 228,437 685,312 342,656 171,328 85,664 42,832 21,416 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638

More profiles

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