8,000,425

5² × 19 × 16843

8,000,425 has digital root 1. The neighboring primes are 8000413 and 8000431; its proper-divisor sum differs from the starting integer by -5,557,570.

Prime Factor Structure

Factorization String 5^2 × 19 × 16843

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,443,280

Proper Divisor Sum 2,442,855

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8000413 ← → #8000431

Radix Representation

Decimal	8000425
Binary	11110100001001110101001 (23 bits)
Octal	0o36411651
Hexadecimal	0x7A13A9

Divisor Catalog (12)

1 5 19 25 95 475 16,843 84,215 320,017 421,075 1,600,085 8,000,425

Collatz Trajectory (261 steps to reach 1)

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

8,000,425 24,001,276 12,000,638 6,000,319 18,000,958 9,000,479 27,001,438 13,500,719 40,502,158 20,251,079 60,753,238 30,376,619 91,129,858 45,564,929 136,694,788 68,347,394 34,173,697 102,521,092 51,260,546 25,630,273 76,890,820 38,445,410 19,222,705 57,668,116 28,834,058 14,417,029 43,251,088 21,625,544 10,812,772 5,406,386 2,703,193 8,109,580 4,054,790 2,027,395 6,082,186 3,041,093 9,123,280 4,561,640 2,280,820 1,140,410 570,205 1,710,616 855,308 427,654 213,827 641,482 320,741 962,224 481,112 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972 101,486 50,743

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