2,004,486

2 × 3 × 11³ × 251

Starting at 2,004,486, the Collatz iteration reaches 1 after 91 steps. The first transition is 1002243; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11^3 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,427,136

Proper Divisor Sum 2,422,650

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2004479 ← → #2004511

Radix Representation

Decimal	2004486
Binary	111101001011000000110 (21 bits)
Octal	0o7513006
Hexadecimal	0x1E9606

Divisor Catalog (32)

1 2 3 6 11 22 33 66 121 242 251 363 502 726 753 1,331 1,506 2,662 2,761 3,993 5,522 7,986 8,283 16,566 30,371 60,742 91,113 182,226 334,081 668,162 1,002,243 2,004,486

Collatz Trajectory (91 steps to reach 1)

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

2,004,486 1,002,243 3,006,730 1,503,365 4,510,096 2,255,048 1,127,524 563,762 281,881 845,644 422,822 211,411 634,234 317,117 951,352 475,676 237,838 118,919 356,758 178,379 535,138 267,569 802,708 401,354 200,677 602,032 301,016 150,508 75,254 37,627 112,882 56,441 169,324 84,662 42,331 126,994 63,497 190,492 95,246 47,623 142,870 71,435 214,306 107,153 321,460 160,730 80,365 241,096 120,548 60,274 30,137 90,412 45,206 22,603 67,810 33,905 101,716 50,858 25,429 76,288

← Previous Integer #2,004,485 Browse Full Index Next Integer #2,004,487 →