8,401,404

2² × 3 × 11 × 63647

Starting at 8,401,404, the Collatz iteration reaches 1 after 243 steps. The first transition is 4200702; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 63647

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,385,728

Proper Divisor Sum 12,984,324

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8401397 ← → #8401409

Radix Representation

Decimal	8401404
Binary	100000000011000111111100 (24 bits)
Octal	0o40030774
Hexadecimal	0x8031FC

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 63,647 127,294 190,941 254,588 381,882 700,117 763,764 1,400,234 2,100,351 2,800,468 4,200,702 8,401,404

Collatz Trajectory (243 steps to reach 1)

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

8,401,404 4,200,702 2,100,351 6,301,054 3,150,527 9,451,582 4,725,791 14,177,374 7,088,687 21,266,062 10,633,031 31,899,094 15,949,547 47,848,642 23,924,321 71,772,964 35,886,482 17,943,241 53,829,724 26,914,862 13,457,431 40,372,294 20,186,147 60,558,442 30,279,221 90,837,664 45,418,832 22,709,416 11,354,708 5,677,354 2,838,677 8,516,032 4,258,016 2,129,008 1,064,504 532,252 266,126 133,063 399,190 199,595 598,786 299,393 898,180 449,090 224,545 673,636 336,818 168,409 505,228 252,614 126,307 378,922 189,461 568,384 284,192 142,096 71,048 35,524 17,762 8,881

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