λ
Match Zalai

1,896,012

22 × 32 × 52667
Abundant Even Composite

1,896,012 factors as 2^2 × 3^2 × 52667. Its 18 positive divisors give a proper-divisor sum of 2,896,776, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 52667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,792,788
Proper Divisor Sum 2,896,776
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1896001 ← → #1896017

Radix Representation

Decimal 1896012
Binary 111001110111001001100 (21 bits)
Octal 0o7167114
Hexadecimal 0x1CEE4C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 52,667 105,334 158,001 210,668 316,002 474,003 632,004 948,006 1,896,012

Collatz Trajectory (171 steps to reach 1)

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

1,896,012 948,006 474,003 1,422,010 711,005 2,133,016 1,066,508 533,254 266,627 799,882 399,941 1,199,824 599,912 299,956 149,978 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

More profiles

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