2,006,007

3 × 41 × 47 × 347

2,006,007 has digital root 6. The neighboring primes are 2005981 and 2006009; its proper-divisor sum differs from the starting integer by -1,205,742.

Prime Factor Structure

Factorization String 3 × 41 × 47 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,806,272

Proper Divisor Sum 800,265

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2005981 ← → #2006009

Radix Representation

Decimal	2006007
Binary	111101001101111110111 (21 bits)
Octal	0o7515767
Hexadecimal	0x1E9BF7

Divisor Catalog (16)

1 3 41 47 123 141 347 1,041 1,927 5,781 14,227 16,309 42,681 48,927 668,669 2,006,007

Collatz Trajectory (259 steps to reach 1)

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

2,006,007 6,018,022 3,009,011 9,027,034 4,513,517 13,540,552 6,770,276 3,385,138 1,692,569 5,077,708 2,538,854 1,269,427 3,808,282 1,904,141 5,712,424 2,856,212 1,428,106 714,053 2,142,160 1,071,080 535,540 267,770 133,885 401,656 200,828 100,414 50,207 150,622 75,311 225,934 112,967 338,902 169,451 508,354 254,177 762,532 381,266 190,633 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815 2,171,446 1,085,723 3,257,170 1,628,585 4,885,756 2,442,878 1,221,439 3,664,318 1,832,159 5,496,478 2,748,239

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