2,138,252

2² × 409 × 1307

2,138,252 factors as 2^2 × 409 × 1307. Its 12 positive divisors give a proper-divisor sum of 1,615,708, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 409 × 1307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,753,960

Proper Divisor Sum 1,615,708

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2138251 ← → #2138263

Radix Representation

Decimal	2138252
Binary	1000001010000010001100 (22 bits)
Octal	0o10120214
Hexadecimal	0x20A08C

Divisor Catalog (12)

1 2 4 409 818 1,307 1,636 2,614 5,228 534,563 1,069,126 2,138,252

Collatz Trajectory (122 steps to reach 1)

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

2,138,252 1,069,126 534,563 1,603,690 801,845 2,405,536 1,202,768 601,384 300,692 150,346 75,173 225,520 112,760 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588

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