λ
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1,396,648

23 × 11 × 59 × 269
Abundant Even Composite

1,396,648 factors as 2^3 × 11 × 59 × 269. Its 32 positive divisors give a proper-divisor sum of 1,519,352, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 59 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,916,000
Proper Divisor Sum 1,519,352
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1396627 ← → #1396657

Radix Representation

Decimal 1396648
Binary 101010100111110101000 (21 bits)
Octal 0o5247650
Hexadecimal 0x154FA8

Divisor Catalog (32)

1 2 4 8 11 22 44 59 88 118 236 269 472 538 649 1,076 1,298 2,152 2,596 2,959 5,192 5,918 11,836 15,871 23,672 31,742 63,484 126,968 174,581 349,162 698,324 1,396,648

Collatz Trajectory (199 steps to reach 1)

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

1,396,648 698,324 349,162 174,581 523,744 261,872 130,936 65,468 32,734 16,367 49,102 24,551 73,654 36,827 110,482 55,241 165,724 82,862 41,431 124,294 62,147 186,442 93,221 279,664 139,832 69,916 34,958 17,479 52,438 26,219 78,658 39,329 117,988 58,994 29,497 88,492 44,246 22,123 66,370 33,185 99,556 49,778 24,889 74,668 37,334 18,667 56,002 28,001 84,004 42,002 21,001 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162

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