λ
Harmonic Matrix

3,628,682

2 × 47 × 38603
Deficient Even Composite

3,628,682 has digital root 8. The neighboring primes are 3628679 and 3628697; its proper-divisor sum differs from the starting integer by -1,698,388.

Prime Factor Structure

Factorization String 2 × 47 × 38603
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,558,976
Proper Divisor Sum 1,930,294
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3628679 ← → #3628697

Radix Representation

Decimal 3628682
Binary 1101110101111010001010 (22 bits)
Octal 0o15657212
Hexadecimal 0x375E8A

Divisor Catalog (8)

1 2 47 94 38,603 77,206 1,814,341 3,628,682

Collatz Trajectory (71 steps to reach 1)

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

3,628,682 1,814,341 5,443,024 2,721,512 1,360,756 680,378 340,189 1,020,568 510,284 255,142 127,571 382,714 191,357 574,072 287,036 143,518 71,759 215,278 107,639 322,918 161,459 484,378 242,189 726,568 363,284 181,642 90,821 272,464 136,232 68,116 34,058 17,029 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640

More profiles

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