λ
Harmonic Matrix

3,180,802

2 × 17 × 93553
Deficient Even Composite

3,180,802 has digital root 4. The neighboring primes are 3180799 and 3180803; its proper-divisor sum differs from the starting integer by -1,309,688.

Prime Factor Structure

Factorization String 2 × 17 × 93553
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,051,916
Proper Divisor Sum 1,871,114
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3180799 ← → #3180803

Radix Representation

Decimal 3180802
Binary 1100001000100100000010 (22 bits)
Octal 0o14104402
Hexadecimal 0x308902

Divisor Catalog (8)

1 2 17 34 93,553 187,106 1,590,401 3,180,802

Collatz Trajectory (102 steps to reach 1)

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

3,180,802 1,590,401 4,771,204 2,385,602 1,192,801 3,578,404 1,789,202 894,601 2,683,804 1,341,902 670,951 2,012,854 1,006,427 3,019,282 1,509,641 4,528,924 2,264,462 1,132,231 3,396,694 1,698,347 5,095,042 2,547,521 7,642,564 3,821,282 1,910,641 5,731,924 2,865,962 1,432,981 4,298,944 2,149,472 1,074,736 537,368 268,684 134,342 67,171 201,514 100,757 302,272 151,136 75,568 37,784 18,892 9,446 4,723 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365

More profiles

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