2,123,888

2⁴ × 13 × 10211

Starting at 2,123,888, the Collatz iteration reaches 1 after 148 steps. The first transition is 1061944; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 10211

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,432,008

Proper Divisor Sum 2,308,120

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2123881 ← → #2123897

Radix Representation

Decimal	2123888
Binary	1000000110100001110000 (22 bits)
Octal	0o10064160
Hexadecimal	0x206870

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 10,211 20,422 40,844 81,688 132,743 163,376 265,486 530,972 1,061,944 2,123,888

Collatz Trajectory (148 steps to reach 1)

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

2,123,888 1,061,944 530,972 265,486 132,743 398,230 199,115 597,346 298,673 896,020 448,010 224,005 672,016 336,008 168,004 84,002 42,001 126,004 63,002 31,501 94,504 47,252 23,626 11,813 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890

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