λ
Harmonic Matrix

3,621,698

2 × 1033 × 1753
Deficient Even Composite

3,621,698 has digital root 8. The neighboring primes are 3621691 and 3621701; its proper-divisor sum differs from the starting integer by -1,802,488.

Prime Factor Structure

Factorization String 2 × 1033 × 1753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,440,908
Proper Divisor Sum 1,819,210
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3621691 ← → #3621701

Radix Representation

Decimal 3621698
Binary 1101110100001101000010 (22 bits)
Octal 0o15641502
Hexadecimal 0x374342

Divisor Catalog (8)

1 2 1,033 1,753 2,066 3,506 1,810,849 3,621,698

Collatz Trajectory (221 steps to reach 1)

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

3,621,698 1,810,849 5,432,548 2,716,274 1,358,137 4,074,412 2,037,206 1,018,603 3,055,810 1,527,905 4,583,716 2,291,858 1,145,929 3,437,788 1,718,894 859,447 2,578,342 1,289,171 3,867,514 1,933,757 5,801,272 2,900,636 1,450,318 725,159 2,175,478 1,087,739 3,263,218 1,631,609 4,894,828 2,447,414 1,223,707 3,671,122 1,835,561 5,506,684 2,753,342 1,376,671 4,130,014 2,065,007 6,195,022 3,097,511 9,292,534 4,646,267 13,938,802 6,969,401 20,908,204 10,454,102 5,227,051 15,681,154 7,840,577 23,521,732 11,760,866 5,880,433 17,641,300 8,820,650 4,410,325 13,230,976 6,615,488 3,307,744 1,653,872 826,936

More profiles

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