2,058,338

2 × 31 × 33199

Starting at 2,058,338, the Collatz iteration reaches 1 after 78 steps. The first transition is 1029169; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 33199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,187,200

Proper Divisor Sum 1,128,862

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2058311 ← → #2058341

Radix Representation

Decimal	2058338
Binary	111110110100001100010 (21 bits)
Octal	0o7664142
Hexadecimal	0x1F6862

Divisor Catalog (8)

1 2 31 62 33,199 66,398 1,029,169 2,058,338

Collatz Trajectory (78 steps to reach 1)

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

2,058,338 1,029,169 3,087,508 1,543,754 771,877 2,315,632 1,157,816 578,908 289,454 144,727 434,182 217,091 651,274 325,637 976,912 488,456 244,228 122,114 61,057 183,172 91,586 45,793 137,380 68,690 34,345 103,036 51,518 25,759 77,278 38,639 115,918 57,959 173,878 86,939 260,818 130,409 391,228 195,614 97,807 293,422 146,711 440,134 220,067 660,202 330,101 990,304 495,152 247,576 123,788 61,894 30,947 92,842 46,421 139,264 69,632 34,816 17,408 8,704 4,352 2,176

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