2,127,372

2² × 3 × 13² × 1049

2,127,372 has digital root 6. The neighboring primes are 2127371 and 2127379; its proper-divisor sum differs from the starting integer by 1,125,456.

Prime Factor Structure

Factorization String 2^2 × 3 × 13^2 × 1049

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 5,380,200

Proper Divisor Sum 3,252,828

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2127371 ← → #2127379

Radix Representation

Decimal	2127372
Binary	1000000111011000001100 (22 bits)
Octal	0o10073014
Hexadecimal	0x20760C

Divisor Catalog (36)

1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1,014 1,049 2,028 2,098 3,147 4,196 6,294 12,588 13,637 27,274 40,911 54,548 81,822 163,644 177,281 354,562 531,843 709,124 1,063,686 2,127,372

Collatz Trajectory (47 steps to reach 1)

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

2,127,372 1,063,686 531,843 1,595,530 797,765 2,393,296 1,196,648 598,324 299,162 149,581 448,744 224,372 112,186 56,093 168,280 84,140 42,070 21,035 63,106 31,553 94,660 47,330 23,665 70,996 35,498 17,749 53,248 26,624 13,312 6,656 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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