4,047,102

2 × 3² × 151 × 1489

Starting at 4,047,102, the Collatz iteration reaches 1 after 136 steps. The first transition is 2023551; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 151 × 1489

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,832,720

Proper Divisor Sum 4,785,618

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4047101 ← → #4047157

Radix Representation

Decimal	4047102
Binary	1111011100000011111110 (22 bits)
Octal	0o17340376
Hexadecimal	0x3DC0FE

Divisor Catalog (24)

1 2 3 6 9 18 151 302 453 906 1,359 1,489 2,718 2,978 4,467 8,934 13,401 26,802 224,839 449,678 674,517 1,349,034 2,023,551 4,047,102

Collatz Trajectory (136 steps to reach 1)

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

4,047,102 2,023,551 6,070,654 3,035,327 9,105,982 4,552,991 13,658,974 6,829,487 20,488,462 10,244,231 30,732,694 15,366,347 46,099,042 23,049,521 69,148,564 34,574,282 17,287,141 51,861,424 25,930,712 12,965,356 6,482,678 3,241,339 9,724,018 4,862,009 14,586,028 7,293,014 3,646,507 10,939,522 5,469,761 16,409,284 8,204,642 4,102,321 12,306,964 6,153,482 3,076,741 9,230,224 4,615,112 2,307,556 1,153,778 576,889 1,730,668 865,334 432,667 1,298,002 649,001 1,947,004 973,502 486,751 1,460,254 730,127 2,190,382 1,095,191 3,285,574 1,642,787 4,928,362 2,464,181 7,392,544 3,696,272 1,848,136 924,068

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