2,478,338

2 × 101 × 12269

Starting at 2,478,338, the Collatz iteration reaches 1 after 174 steps. The first transition is 1239169; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 101 × 12269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,754,620

Proper Divisor Sum 1,276,282

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2478337 ← → #2478347

Radix Representation

Decimal	2478338
Binary	1001011101000100000010 (22 bits)
Octal	0o11350402
Hexadecimal	0x25D102

Divisor Catalog (8)

1 2 101 202 12,269 24,538 1,239,169 2,478,338

Collatz Trajectory (174 steps to reach 1)

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

2,478,338 1,239,169 3,717,508 1,858,754 929,377 2,788,132 1,394,066 697,033 2,091,100 1,045,550 522,775 1,568,326 784,163 2,352,490 1,176,245 3,528,736 1,764,368 882,184 441,092 220,546 110,273 330,820 165,410 82,705 248,116 124,058 62,029 186,088 93,044 46,522 23,261 69,784 34,892 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437

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