2,163,122

2 × 13 × 271 × 307

2,163,122 factors as 2 × 13 × 271 × 307. Its 16 positive divisors give a proper-divisor sum of 1,355,470, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2 × 13 × 271 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,518,592

Proper Divisor Sum 1,355,470

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2163113 ← → #2163137

Radix Representation

Decimal	2163122
Binary	1000010000000110110010 (22 bits)
Octal	0o10200662
Hexadecimal	0x2101B2

Divisor Catalog (16)

1 2 13 26 271 307 542 614 3,523 3,991 7,046 7,982 83,197 166,394 1,081,561 2,163,122

Collatz Trajectory (122 steps to reach 1)

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

2,163,122 1,081,561 3,244,684 1,622,342 811,171 2,433,514 1,216,757 3,650,272 1,825,136 912,568 456,284 228,142 114,071 342,214 171,107 513,322 256,661 769,984 384,992 192,496 96,248 48,124 24,062 12,031 36,094 18,047 54,142 27,071 81,214 40,607 121,822 60,911 182,734 91,367 274,102 137,051 411,154 205,577 616,732 308,366 154,183 462,550 231,275 693,826 346,913 1,040,740 520,370 260,185 780,556 390,278 195,139 585,418 292,709 878,128 439,064 219,532 109,766 54,883 164,650 82,325

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