4,029,238

2 × 17² × 6971

Starting at 4,029,238, the Collatz iteration reaches 1 after 260 steps. The first transition is 2014619; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 17^2 × 6971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,421,212

Proper Divisor Sum 2,391,974

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4029227 ← → #4029239

Radix Representation

Decimal	4029238
Binary	1111010111101100110110 (22 bits)
Octal	0o17275466
Hexadecimal	0x3D7B36

Divisor Catalog (12)

1 2 17 34 289 578 6,971 13,942 118,507 237,014 2,014,619 4,029,238

Collatz Trajectory (260 steps to reach 1)

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

4,029,238 2,014,619 6,043,858 3,021,929 9,065,788 4,532,894 2,266,447 6,799,342 3,399,671 10,199,014 5,099,507 15,298,522 7,649,261 22,947,784 11,473,892 5,736,946 2,868,473 8,605,420 4,302,710 2,151,355 6,454,066 3,227,033 9,681,100 4,840,550 2,420,275 7,260,826 3,630,413 10,891,240 5,445,620 2,722,810 1,361,405 4,084,216 2,042,108 1,021,054 510,527 1,531,582 765,791 2,297,374 1,148,687 3,446,062 1,723,031 5,169,094 2,584,547 7,753,642 3,876,821 11,630,464 5,815,232 2,907,616 1,453,808 726,904 363,452 181,726 90,863 272,590 136,295 408,886 204,443 613,330 306,665 919,996

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