2,004,289

7 × 23 × 59 × 211

2,004,289 factors as 7 × 23 × 59 × 211. Its 16 positive divisors give a proper-divisor sum of 437,951, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 7 × 23 × 59 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,442,240

Proper Divisor Sum 437,951

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2004271 ← → #2004293

Radix Representation

Decimal	2004289
Binary	111101001010101000001 (21 bits)
Octal	0o7512501
Hexadecimal	0x1E9541

Divisor Catalog (16)

1 7 23 59 161 211 413 1,357 1,477 4,853 9,499 12,449 33,971 87,143 286,327 2,004,289

Collatz Trajectory (140 steps to reach 1)

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

2,004,289 6,012,868 3,006,434 1,503,217 4,509,652 2,254,826 1,127,413 3,382,240 1,691,120 845,560 422,780 211,390 105,695 317,086 158,543 475,630 237,815 713,446 356,723 1,070,170 535,085 1,605,256 802,628 401,314 200,657 601,972 300,986 150,493 451,480 225,740 112,870 56,435 169,306 84,653 253,960 126,980 63,490 31,745 95,236 47,618 23,809 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716

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