λ
Sigma Notebook

1,553,604

22 × 3 × 13 × 23 × 433
Abundant Even Composite

1,553,604 is even and not a perfect square. Its factorization is 2^2 × 3 × 13 × 23 × 433 and its 48 divisors sum to 4,083,072.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 23 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,083,072
Proper Divisor Sum 2,529,468
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1553597 ← → #1553653

Radix Representation

Decimal 1553604
Binary 101111011010011000100 (21 bits)
Octal 0o5732304
Hexadecimal 0x17B4C4

Divisor Catalog (48)

1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 433 598 866 897 1,196 1,299 1,732 1,794 2,598 3,588 5,196 5,629 9,959 11,258 16,887 19,918 22,516 29,877 33,774 39,836 59,754 67,548 119,508 129,467 258,934 388,401 517,868 776,802 1,553,604

Collatz Trajectory (194 steps to reach 1)

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

1,553,604 776,802 388,401 1,165,204 582,602 291,301 873,904 436,952 218,476 109,238 54,619 163,858 81,929 245,788 122,894 61,447 184,342 92,171 276,514 138,257 414,772 207,386 103,693 311,080 155,540 77,770 38,885 116,656 58,328 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646

More profiles

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