2,004,012

2² × 3² × 55667

2,004,012 factors as 2^2 × 3^2 × 55667. Its 18 positive divisors give a proper-divisor sum of 3,061,776, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 55667

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 5,065,788

Proper Divisor Sum 3,061,776

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #2004007 ← → #2004017

Radix Representation

Decimal	2004012
Binary	111101001010000101100 (21 bits)
Octal	0o7512054
Hexadecimal	0x1E942C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 55,667 111,334 167,001 222,668 334,002 501,003 668,004 1,002,006 2,004,012

Collatz Trajectory (91 steps to reach 1)

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

2,004,012 1,002,006 501,003 1,503,010 751,505 2,254,516 1,127,258 563,629 1,690,888 845,444 422,722 211,361 634,084 317,042 158,521 475,564 237,782 118,891 356,674 178,337 535,012 267,506 133,753 401,260 200,630 100,315 300,946 150,473 451,420 225,710 112,855 338,566 169,283 507,850 253,925 761,776 380,888 190,444 95,222 47,611 142,834 71,417 214,252 107,126 53,563 160,690 80,345 241,036 120,518 60,259 180,778 90,389 271,168 135,584 67,792 33,896 16,948 8,474 4,237 12,712

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