λ
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1,493,128

23 × 72 × 13 × 293
Abundant Even Composite

1,493,128 factors as 2^3 × 7^2 × 13 × 293. Its 48 positive divisors give a proper-divisor sum of 2,026,052, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 13 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,519,180
Proper Divisor Sum 2,026,052
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1493101 ← → #1493159

Radix Representation

Decimal 1493128
Binary 101101100100010001000 (21 bits)
Octal 0o5544210
Hexadecimal 0x16C888

Divisor Catalog (48)

1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 293 364 392 586 637 728 1,172 1,274 2,051 2,344 2,548 3,809 4,102 5,096 7,618 8,204 14,357 15,236 16,408 26,663 28,714 30,472 53,326 57,428 106,652 114,856 186,641 213,304 373,282 746,564 1,493,128

Collatz Trajectory (88 steps to reach 1)

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

1,493,128 746,564 373,282 186,641 559,924 279,962 139,981 419,944 209,972 104,986 52,493 157,480 78,740 39,370 19,685 59,056 29,528 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268

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