2,057,538

2 × 3 × 7 × 48989

Starting at 2,057,538, the Collatz iteration reaches 1 after 135 steps. The first transition is 1028769; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 48989

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,703,040

Proper Divisor Sum 2,645,502

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2057537 ← → #2057543

Radix Representation

Decimal	2057538
Binary	111110110010101000010 (21 bits)
Octal	0o7662502
Hexadecimal	0x1F6542

Divisor Catalog (16)

1 2 3 6 7 14 21 42 48,989 97,978 146,967 293,934 342,923 685,846 1,028,769 2,057,538

Collatz Trajectory (135 steps to reach 1)

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

2,057,538 1,028,769 3,086,308 1,543,154 771,577 2,314,732 1,157,366 578,683 1,736,050 868,025 2,604,076 1,302,038 651,019 1,953,058 976,529 2,929,588 1,464,794 732,397 2,197,192 1,098,596 549,298 274,649 823,948 411,974 205,987 617,962 308,981 926,944 463,472 231,736 115,868 57,934 28,967 86,902 43,451 130,354 65,177 195,532 97,766 48,883 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051

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