2,002,492

2² × 79 × 6337

2,002,492 is even and not a perfect square. Its factorization is 2^2 × 79 × 6337 and its 12 divisors sum to 3,549,280.

Prime Factor Structure

Factorization String 2^2 × 79 × 6337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,549,280

Proper Divisor Sum 1,546,788

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2002471 ← → #2002523

Radix Representation

Decimal	2002492
Binary	111101000111000111100 (21 bits)
Octal	0o7507074
Hexadecimal	0x1E8E3C

Divisor Catalog (12)

1 2 4 79 158 316 6,337 12,674 25,348 500,623 1,001,246 2,002,492

Collatz Trajectory (96 steps to reach 1)

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

2,002,492 1,001,246 500,623 1,501,870 750,935 2,252,806 1,126,403 3,379,210 1,689,605 5,068,816 2,534,408 1,267,204 633,602 316,801 950,404 475,202 237,601 712,804 356,402 178,201 534,604 267,302 133,651 400,954 200,477 601,432 300,716 150,358 75,179 225,538 112,769 338,308 169,154 84,577 253,732 126,866 63,433 190,300 95,150 47,575 142,726 71,363 214,090 107,045 321,136 160,568 80,284 40,142 20,071 60,214 30,107 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211

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