4,407,008

2⁵ × 41 × 3359

4,407,008 is even and not a perfect square. Its factorization is 2^5 × 41 × 3359 and its 24 divisors sum to 8,890,560.

Prime Factor Structure

Factorization String 2^5 × 41 × 3359

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,890,560

Proper Divisor Sum 4,483,552

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4406999 ← → #4407017

Radix Representation

Decimal	4407008
Binary	10000110011111011100000 (23 bits)
Octal	0o20637340
Hexadecimal	0x433EE0

Divisor Catalog (24)

1 2 4 8 16 32 41 82 164 328 656 1,312 3,359 6,718 13,436 26,872 53,744 107,488 137,719 275,438 550,876 1,101,752 2,203,504 4,407,008

Collatz Trajectory (149 steps to reach 1)

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

4,407,008 2,203,504 1,101,752 550,876 275,438 137,719 413,158 206,579 619,738 309,869 929,608 464,804 232,402 116,201 348,604 174,302 87,151 261,454 130,727 392,182 196,091 588,274 294,137 882,412 441,206 220,603 661,810 330,905 992,716 496,358 248,179 744,538 372,269 1,116,808 558,404 279,202 139,601 418,804 209,402 104,701 314,104 157,052 78,526 39,263 117,790 58,895 176,686 88,343 265,030 132,515 397,546 198,773 596,320 298,160 149,080 74,540 37,270 18,635 55,906 27,953

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