λ
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2,069,002

2 × 13 × 17 × 31 × 151
Deficient Even Composite

2,069,002 factors as 2 × 13 × 17 × 31 × 151. Its 32 positive divisors give a proper-divisor sum of 1,608,182, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 31 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,677,184
Proper Divisor Sum 1,608,182
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2068999 ← → #2069009

Radix Representation

Decimal 2069002
Binary 111111001001000001010 (21 bits)
Octal 0o7711012
Hexadecimal 0x1F920A

Divisor Catalog (32)

1 2 13 17 26 31 34 62 151 221 302 403 442 527 806 1,054 1,963 2,567 3,926 4,681 5,134 6,851 9,362 13,702 33,371 60,853 66,742 79,577 121,706 159,154 1,034,501 2,069,002

Collatz Trajectory (153 steps to reach 1)

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

2,069,002 1,034,501 3,103,504 1,551,752 775,876 387,938 193,969 581,908 290,954 145,477 436,432 218,216 109,108 54,554 27,277 81,832 40,916 20,458 10,229 30,688 15,344 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365

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