3,658,404

2² × 3 × 304867

Starting at 3,658,404, the Collatz iteration reaches 1 after 141 steps. The first transition is 1829202; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 304867

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,536,304

Proper Divisor Sum 4,877,900

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3658399 ← → #3658409

Radix Representation

Decimal	3658404
Binary	1101111101001010100100 (22 bits)
Octal	0o15751244
Hexadecimal	0x37D2A4

Divisor Catalog (12)

1 2 3 4 6 12 304,867 609,734 914,601 1,219,468 1,829,202 3,658,404

Collatz Trajectory (141 steps to reach 1)

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

3,658,404 1,829,202 914,601 2,743,804 1,371,902 685,951 2,057,854 1,028,927 3,086,782 1,543,391 4,630,174 2,315,087 6,945,262 3,472,631 10,417,894 5,208,947 15,626,842 7,813,421 23,440,264 11,720,132 5,860,066 2,930,033 8,790,100 4,395,050 2,197,525 6,592,576 3,296,288 1,648,144 824,072 412,036 206,018 103,009 309,028 154,514 77,257 231,772 115,886 57,943 173,830 86,915 260,746 130,373 391,120 195,560 97,780 48,890 24,445 73,336 36,668 18,334 9,167 27,502 13,751 41,254 20,627 61,882 30,941 92,824 46,412 23,206

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