3,042,180

2² × 3² × 5 × 16901

3,042,180 has digital root 9. The neighboring primes are 3042173 and 3042181; its proper-divisor sum differs from the starting integer by 3,144,132.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 16901

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,228,492

Proper Divisor Sum 6,186,312

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3042173 ← → #3042181

Radix Representation

Decimal	3042180
Binary	1011100110101110000100 (22 bits)
Octal	0o13465604
Hexadecimal	0x2E6B84

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 16,901 33,802 50,703 67,604 84,505 101,406 152,109 169,010 202,812 253,515 304,218 338,020 507,030 608,436 760,545 1,014,060 1,521,090 3,042,180

Collatz Trajectory (81 steps to reach 1)

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

3,042,180 1,521,090 760,545 2,281,636 1,140,818 570,409 1,711,228 855,614 427,807 1,283,422 641,711 1,925,134 962,567 2,887,702 1,443,851 4,331,554 2,165,777 6,497,332 3,248,666 1,624,333 4,873,000 2,436,500 1,218,250 609,125 1,827,376 913,688 456,844 228,422 114,211 342,634 171,317 513,952 256,976 128,488 64,244 32,122 16,061 48,184 24,092 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220

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