8,429,001

3 × 7 × 401381

Starting at 8,429,001, the Collatz iteration reaches 1 after 155 steps. The first transition is 25287004; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 401381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,844,224

Proper Divisor Sum 4,415,223

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8428969 ← → #8429011

Radix Representation

Decimal	8429001
Binary	100000001001110111001001 (24 bits)
Octal	0o40116711
Hexadecimal	0x809DC9

Divisor Catalog (8)

1 3 7 21 401,381 1,204,143 2,809,667 8,429,001

Collatz Trajectory (155 steps to reach 1)

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

8,429,001 25,287,004 12,643,502 6,321,751 18,965,254 9,482,627 28,447,882 14,223,941 42,671,824 21,335,912 10,667,956 5,333,978 2,666,989 8,000,968 4,000,484 2,000,242 1,000,121 3,000,364 1,500,182 750,091 2,250,274 1,125,137 3,375,412 1,687,706 843,853 2,531,560 1,265,780 632,890 316,445 949,336 474,668 237,334 118,667 356,002 178,001 534,004 267,002 133,501 400,504 200,252 100,126 50,063 150,190 75,095 225,286 112,643 337,930 168,965 506,896 253,448 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464

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