2,837,003

13² × 16787

2,837,003 factors as 13^2 × 16787. Its 6 positive divisors give a proper-divisor sum of 235,201, so this integer is deficient. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 13^2 × 16787

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,072,204

Proper Divisor Sum 235,201

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2836993 ← → #2837017

Radix Representation

Decimal	2837003
Binary	1010110100101000001011 (22 bits)
Octal	0o12645013
Hexadecimal	0x2B4A0B

Divisor Catalog (6)

1 13 169 16,787 218,231 2,837,003

Collatz Trajectory (275 steps to reach 1)

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

2,837,003 8,511,010 4,255,505 12,766,516 6,383,258 3,191,629 9,574,888 4,787,444 2,393,722 1,196,861 3,590,584 1,795,292 897,646 448,823 1,346,470 673,235 2,019,706 1,009,853 3,029,560 1,514,780 757,390 378,695 1,136,086 568,043 1,704,130 852,065 2,556,196 1,278,098 639,049 1,917,148 958,574 479,287 1,437,862 718,931 2,156,794 1,078,397 3,235,192 1,617,596 808,798 404,399 1,213,198 606,599 1,819,798 909,899 2,729,698 1,364,849 4,094,548 2,047,274 1,023,637 3,070,912 1,535,456 767,728 383,864 191,932 95,966 47,983 143,950 71,975 215,926 107,963

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