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13,155,128

23 × 72 × 37 × 907
Abundant Even Composite

13,155,128 factors as 2^3 × 7^2 × 37 × 907. Its 48 positive divisors give a proper-divisor sum of 16,345,792, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 37 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,500,920
Proper Divisor Sum 16,345,792
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #13155083 ← → #13155133

Radix Representation

Decimal 13155128
Binary 110010001011101100111000 (24 bits)
Octal 0o62135470
Hexadecimal 0xC8BB38

Divisor Catalog (48)

1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 907 1,036 1,813 1,814 2,072 3,626 3,628 6,349 7,252 7,256 12,698 14,504 25,396 33,559 44,443 50,792 67,118 88,886 134,236 177,772 234,913 268,472 355,544 469,826 939,652 1,644,391 1,879,304 3,288,782 6,577,564 13,155,128

Collatz Trajectory (148 steps to reach 1)

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

13,155,128 6,577,564 3,288,782 1,644,391 4,933,174 2,466,587 7,399,762 3,699,881 11,099,644 5,549,822 2,774,911 8,324,734 4,162,367 12,487,102 6,243,551 18,730,654 9,365,327 28,095,982 14,047,991 42,143,974 21,071,987 63,215,962 31,607,981 94,823,944 47,411,972 23,705,986 11,852,993 35,558,980 17,779,490 8,889,745 26,669,236 13,334,618 6,667,309 20,001,928 10,000,964 5,000,482 2,500,241 7,500,724 3,750,362 1,875,181 5,625,544 2,812,772 1,406,386 703,193 2,109,580 1,054,790 527,395 1,582,186 791,093 2,373,280 1,186,640 593,320 296,660 148,330 74,165 222,496 111,248 55,624 27,812 13,906

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