2,238,574

2 × 13² × 37 × 179

Starting at 2,238,574, the Collatz iteration reaches 1 after 117 steps. The first transition is 1119287; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 13^2 × 37 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,755,160

Proper Divisor Sum 1,516,586

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2238571 ← → #2238589

Radix Representation

Decimal	2238574
Binary	1000100010100001101110 (22 bits)
Octal	0o10424156
Hexadecimal	0x22286E

Divisor Catalog (24)

1 2 13 26 37 74 169 179 338 358 481 962 2,327 4,654 6,253 6,623 12,506 13,246 30,251 60,502 86,099 172,198 1,119,287 2,238,574

Collatz Trajectory (117 steps to reach 1)

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

2,238,574 1,119,287 3,357,862 1,678,931 5,036,794 2,518,397 7,555,192 3,777,596 1,888,798 944,399 2,833,198 1,416,599 4,249,798 2,124,899 6,374,698 3,187,349 9,562,048 4,781,024 2,390,512 1,195,256 597,628 298,814 149,407 448,222 224,111 672,334 336,167 1,008,502 504,251 1,512,754 756,377 2,269,132 1,134,566 567,283 1,701,850 850,925 2,552,776 1,276,388 638,194 319,097 957,292 478,646 239,323 717,970 358,985 1,076,956 538,478 269,239 807,718 403,859 1,211,578 605,789 1,817,368 908,684 454,342 227,171 681,514 340,757 1,022,272 511,136

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