λ
Match Zalai

843,470

2 × 5 × 84347
Deficient Even Composite

843,470 factors as 2 × 5 × 84347. Its 8 positive divisors give a proper-divisor sum of 674,794, so this integer is deficient. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 2 × 5 × 84347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,518,264
Proper Divisor Sum 674,794
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #843461 ← → #843473

Radix Representation

Decimal 843470
Binary 11001101111011001110 (20 bits)
Octal 0o3157316
Hexadecimal 0xCDECE

Divisor Catalog (8)

1 2 5 10 84,347 168,694 421,735 843,470

Collatz Trajectory (281 steps to reach 1)

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

843,470 421,735 1,265,206 632,603 1,897,810 948,905 2,846,716 1,423,358 711,679 2,135,038 1,067,519 3,202,558 1,601,279 4,803,838 2,401,919 7,205,758 3,602,879 10,808,638 5,404,319 16,212,958 8,106,479 24,319,438 12,159,719 36,479,158 18,239,579 54,718,738 27,359,369 82,078,108 41,039,054 20,519,527 61,558,582 30,779,291 92,337,874 46,168,937 138,506,812 69,253,406 34,626,703 103,880,110 51,940,055 155,820,166 77,910,083 233,730,250 116,865,125 350,595,376 175,297,688 87,648,844 43,824,422 21,912,211 65,736,634 32,868,317 98,604,952 49,302,476 24,651,238 12,325,619 36,976,858 18,488,429 55,465,288 27,732,644 13,866,322 6,933,161

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