2,138,516

2² × 534629

Starting at 2,138,516, the Collatz iteration reaches 1 after 166 steps. The first transition is 1069258; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 534629

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,742,410

Proper Divisor Sum 1,603,894

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2138503 ← → #2138527

Radix Representation

Decimal	2138516
Binary	1000001010000110010100 (22 bits)
Octal	0o10120624
Hexadecimal	0x20A194

Divisor Catalog (6)

1 2 4 534,629 1,069,258 2,138,516

Collatz Trajectory (166 steps to reach 1)

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

2,138,516 1,069,258 534,629 1,603,888 801,944 400,972 200,486 100,243 300,730 150,365 451,096 225,548 112,774 56,387 169,162 84,581 253,744 126,872 63,436 31,718 15,859 47,578 23,789 71,368 35,684 17,842 8,921 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380

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