λ
Prime Ledger

3,191,502

2 × 3 × 331 × 1607
Abundant Even Composite

3,191,502 has the prime decomposition 2 × 3 × 331 × 1607. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 331 × 1607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,406,272
Proper Divisor Sum 3,214,770
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3191497 ← → #3191527

Radix Representation

Decimal 3191502
Binary 1100001011001011001110 (22 bits)
Octal 0o14131316
Hexadecimal 0x30B2CE

Divisor Catalog (16)

1 2 3 6 331 662 993 1,607 1,986 3,214 4,821 9,642 531,917 1,063,834 1,595,751 3,191,502

Collatz Trajectory (239 steps to reach 1)

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

3,191,502 1,595,751 4,787,254 2,393,627 7,180,882 3,590,441 10,771,324 5,385,662 2,692,831 8,078,494 4,039,247 12,117,742 6,058,871 18,176,614 9,088,307 27,264,922 13,632,461 40,897,384 20,448,692 10,224,346 5,112,173 15,336,520 7,668,260 3,834,130 1,917,065 5,751,196 2,875,598 1,437,799 4,313,398 2,156,699 6,470,098 3,235,049 9,705,148 4,852,574 2,426,287 7,278,862 3,639,431 10,918,294 5,459,147 16,377,442 8,188,721 24,566,164 12,283,082 6,141,541 18,424,624 9,212,312 4,606,156 2,303,078 1,151,539 3,454,618 1,727,309 5,181,928 2,590,964 1,295,482 647,741 1,943,224 971,612 485,806 242,903 728,710

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