λ
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2,133,012

22 × 3 × 7 × 67 × 379
Abundant Even Composite

2,133,012 factors as 2^2 × 3 × 7 × 67 × 379. Its 48 positive divisors give a proper-divisor sum of 3,655,148, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 67 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,788,160
Proper Divisor Sum 3,655,148
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2132993 ← → #2133023

Radix Representation

Decimal 2133012
Binary 1000001000110000010100 (22 bits)
Octal 0o10106024
Hexadecimal 0x208C14

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 379 402 469 758 804 938 1,137 1,407 1,516 1,876 2,274 2,653 2,814 4,548 5,306 5,628 7,959 10,612 15,918 25,393 31,836 50,786 76,179 101,572 152,358 177,751 304,716 355,502 533,253 711,004 1,066,506 2,133,012

Collatz Trajectory (166 steps to reach 1)

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

2,133,012 1,066,506 533,253 1,599,760 799,880 399,940 199,970 99,985 299,956 149,978 74,989 224,968 112,484 56,242 28,121 84,364 42,182 21,091 63,274 31,637 94,912 47,456 23,728 11,864 5,932 2,966 1,483 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380

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