λ
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Atlas › Integer Profiles › Node 7,519,540

7,519,540

22 × 5 × 72 × 7673
Abundant Even Composite

7,519,540 factors as 2^2 × 5 × 7^2 × 7673. Its 36 positive divisors give a proper-divisor sum of 10,852,016, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 7673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,371,556
Proper Divisor Sum 10,852,016
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7519529 ← → #7519541

Radix Representation

Decimal 7519540
Binary 11100101011110100110100 (23 bits)
Octal 0o34536464
Hexadecimal 0x72BD34

Divisor Catalog (36)

1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 7,673 15,346 30,692 38,365 53,711 76,730 107,422 153,460 214,844 268,555 375,977 537,110 751,954 1,074,220 1,503,908 1,879,885 3,759,770 7,519,540

Collatz Trajectory (217 steps to reach 1)

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

7,519,540 3,759,770 1,879,885 5,639,656 2,819,828 1,409,914 704,957 2,114,872 1,057,436 528,718 264,359 793,078 396,539 1,189,618 594,809 1,784,428 892,214 446,107 1,338,322 669,161 2,007,484 1,003,742 501,871 1,505,614 752,807 2,258,422 1,129,211 3,387,634 1,693,817 5,081,452 2,540,726 1,270,363 3,811,090 1,905,545 5,716,636 2,858,318 1,429,159 4,287,478 2,143,739 6,431,218 3,215,609 9,646,828 4,823,414 2,411,707 7,235,122 3,617,561 10,852,684 5,426,342 2,713,171 8,139,514 4,069,757 12,209,272 6,104,636 3,052,318 1,526,159 4,578,478 2,289,239 6,867,718 3,433,859 10,301,578

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