2,126,306

2 × 7² × 13 × 1669

2,126,306 factors as 2 × 7^2 × 13 × 1669. Its 24 positive divisors give a proper-divisor sum of 1,871,674, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 1669

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,997,980

Proper Divisor Sum 1,871,674

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2126303 ← → #2126317

Radix Representation

Decimal	2126306
Binary	1000000111000111100010 (22 bits)
Octal	0o10070742
Hexadecimal	0x2071E2

Divisor Catalog (24)

Collatz Trajectory (104 steps to reach 1)

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

2,126,306 1,063,153 3,189,460 1,594,730 797,365 2,392,096 1,196,048 598,024 299,012 149,506 74,753 224,260 112,130 56,065 168,196 84,098 42,049 126,148 63,074 31,537 94,612 47,306 23,653 70,960 35,480 17,740 8,870 4,435 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249

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