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7,513,614

2 × 33 × 61 × 2281
Abundant Even Composite

7,513,614 factors as 2 × 3^3 × 61 × 2281. Its 32 positive divisors give a proper-divisor sum of 9,464,466, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 61 × 2281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,978,080
Proper Divisor Sum 9,464,466
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7513613 ← → #7513633

Radix Representation

Decimal 7513614
Binary 11100101010011000001110 (23 bits)
Octal 0o34523016
Hexadecimal 0x72A60E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 61 122 183 366 549 1,098 1,647 2,281 3,294 4,562 6,843 13,686 20,529 41,058 61,587 123,174 139,141 278,282 417,423 834,846 1,252,269 2,504,538 3,756,807 7,513,614

Collatz Trajectory (160 steps to reach 1)

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

7,513,614 3,756,807 11,270,422 5,635,211 16,905,634 8,452,817 25,358,452 12,679,226 6,339,613 19,018,840 9,509,420 4,754,710 2,377,355 7,132,066 3,566,033 10,698,100 5,349,050 2,674,525 8,023,576 4,011,788 2,005,894 1,002,947 3,008,842 1,504,421 4,513,264 2,256,632 1,128,316 564,158 282,079 846,238 423,119 1,269,358 634,679 1,904,038 952,019 2,856,058 1,428,029 4,284,088 2,142,044 1,071,022 535,511 1,606,534 803,267 2,409,802 1,204,901 3,614,704 1,807,352 903,676 451,838 225,919 677,758 338,879 1,016,638 508,319 1,524,958 762,479 2,287,438 1,143,719 3,431,158 1,715,579

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