3,604,432

2⁴ × 13² × 31 × 43

3,604,432 is even and not a perfect square. Its factorization is 2^4 × 13^2 × 31 × 43 and its 60 divisors sum to 7,987,584.

Prime Factor Structure

Factorization String 2^4 × 13^2 × 31 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 7,987,584

Proper Divisor Sum 4,383,152

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3604427 ← → #3604451

Radix Representation

Decimal	3604432
Binary	1101101111111111010000 (22 bits)
Octal	0o15577720
Hexadecimal	0x36FFD0

Divisor Catalog (60)

1 2 4 8 13 16 26 31 43 52 62 86 104 124 169 172 208 248 338 344 403 496 559 676 688 806 1,118 1,333 1,352 1,612 2,236 2,666 2,704 3,224 4,472 5,239 5,332 6,448 7,267 8,944 10,478 10,664 14,534 17,329 20,956 21,328 29,068 34,658 41,912 58,136 69,316 83,824 116,272 138,632 225,277 277,264 450,554 901,108 1,802,216 3,604,432

Collatz Trajectory (234 steps to reach 1)

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

3,604,432 1,802,216 901,108 450,554 225,277 675,832 337,916 168,958 84,479 253,438 126,719 380,158 190,079 570,238 285,119 855,358 427,679 1,283,038 641,519 1,924,558 962,279 2,886,838 1,443,419 4,330,258 2,165,129 6,495,388 3,247,694 1,623,847 4,871,542 2,435,771 7,307,314 3,653,657 10,960,972 5,480,486 2,740,243 8,220,730 4,110,365 12,331,096 6,165,548 3,082,774 1,541,387 4,624,162 2,312,081 6,936,244 3,468,122 1,734,061 5,202,184 2,601,092 1,300,546 650,273 1,950,820 975,410 487,705 1,463,116 731,558 365,779 1,097,338 548,669 1,646,008 823,004

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