2,000,337

3 × 31 × 137 × 157

2,000,337 factors as 3 × 31 × 137 × 157. Its 16 positive divisors give a proper-divisor sum of 790,575, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3 × 31 × 137 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,790,912

Proper Divisor Sum 790,575

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2000329 ← → #2000351

Radix Representation

Decimal	2000337
Binary	111101000010111010001 (21 bits)
Octal	0o7502721
Hexadecimal	0x1E85D1

Divisor Catalog (16)

1 3 31 93 137 157 411 471 4,247 4,867 12,741 14,601 21,509 64,527 666,779 2,000,337

Collatz Trajectory (91 steps to reach 1)

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

2,000,337 6,001,012 3,000,506 1,500,253 4,500,760 2,250,380 1,125,190 562,595 1,687,786 843,893 2,531,680 1,265,840 632,920 316,460 158,230 79,115 237,346 118,673 356,020 178,010 89,005 267,016 133,508 66,754 33,377 100,132 50,066 25,033 75,100 37,550 18,775 56,326 28,163 84,490 42,245 126,736 63,368 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59

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