λ
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1,362,648

23 × 3 × 7 × 8111
Abundant Even Composite

1,362,648 factors as 2^3 × 3 × 7 × 8111. Its 32 positive divisors give a proper-divisor sum of 2,531,112, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 8111
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,893,760
Proper Divisor Sum 2,531,112
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1362643 ← → #1362653

Radix Representation

Decimal 1362648
Binary 101001100101011011000 (21 bits)
Octal 0o5145330
Hexadecimal 0x14CAD8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 8,111 16,222 24,333 32,444 48,666 56,777 64,888 97,332 113,554 170,331 194,664 227,108 340,662 454,216 681,324 1,362,648

Collatz Trajectory (199 steps to reach 1)

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

1,362,648 681,324 340,662 170,331 510,994 255,497 766,492 383,246 191,623 574,870 287,435 862,306 431,153 1,293,460 646,730 323,365 970,096 485,048 242,524 121,262 60,631 181,894 90,947 272,842 136,421 409,264 204,632 102,316 51,158 25,579 76,738 38,369 115,108 57,554 28,777 86,332 43,166 21,583 64,750 32,375 97,126 48,563 145,690 72,845 218,536 109,268 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441

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