7,132,368

2⁴ × 3 × 139 × 1069

7,132,368 factors as 2^4 × 3 × 139 × 1069. Its 40 positive divisors give a proper-divisor sum of 11,442,832, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 139 × 1069

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,575,200

Proper Divisor Sum 11,442,832

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7132337 ← → #7132373

Radix Representation

Decimal	7132368
Binary	11011001101010011010000 (23 bits)
Octal	0o33152320
Hexadecimal	0x6CD4D0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1,069 1,112 1,668 2,138 2,224 3,207 3,336 4,276 6,414 6,672 8,552 12,828 17,104 25,656 51,312 148,591 297,182 445,773 594,364 891,546 1,188,728 1,783,092 2,377,456 3,566,184 7,132,368

Collatz Trajectory (266 steps to reach 1)

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

7,132,368 3,566,184 1,783,092 891,546 445,773 1,337,320 668,660 334,330 167,165 501,496 250,748 125,374 62,687 188,062 94,031 282,094 141,047 423,142 211,571 634,714 317,357 952,072 476,036 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903 1,016,710 508,355 1,525,066 762,533 2,287,600 1,143,800 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815 2,171,446 1,085,723 3,257,170 1,628,585

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