λ
Sigma Notebook

9,437,596

22 × 72 × 179 × 269
Abundant Even Composite

9,437,596 is even and not a perfect square. Its factorization is 2^2 × 7^2 × 179 × 269 and its 36 divisors sum to 19,391,400.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 179 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,391,400
Proper Divisor Sum 9,953,804
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9437591 ← → #9437599

Radix Representation

Decimal 9437596
Binary 100100000000000110011100 (24 bits)
Octal 0o44000634
Hexadecimal 0x90019C

Divisor Catalog (36)

1 2 4 7 14 28 49 98 179 196 269 358 538 716 1,076 1,253 1,883 2,506 3,766 5,012 7,532 8,771 13,181 17,542 26,362 35,084 48,151 52,724 96,302 192,604 337,057 674,114 1,348,228 2,359,399 4,718,798 9,437,596

Collatz Trajectory (225 steps to reach 1)

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

9,437,596 4,718,798 2,359,399 7,078,198 3,539,099 10,617,298 5,308,649 15,925,948 7,962,974 3,981,487 11,944,462 5,972,231 17,916,694 8,958,347 26,875,042 13,437,521 40,312,564 20,156,282 10,078,141 30,234,424 15,117,212 7,558,606 3,779,303 11,337,910 5,668,955 17,006,866 8,503,433 25,510,300 12,755,150 6,377,575 19,132,726 9,566,363 28,699,090 14,349,545 43,048,636 21,524,318 10,762,159 32,286,478 16,143,239 48,429,718 24,214,859 72,644,578 36,322,289 108,966,868 54,483,434 27,241,717 81,725,152 40,862,576 20,431,288 10,215,644 5,107,822 2,553,911 7,661,734 3,830,867 11,492,602 5,746,301 17,238,904 8,619,452 4,309,726 2,154,863

More profiles

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