8,402,832

2⁴ × 3³ × 53 × 367

8,402,832 has the prime decomposition 2^4 × 3^3 × 53 × 367. Its 4 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 53 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 24,641,280

Proper Divisor Sum 16,238,448

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8402831 ← → #8402833

Radix Representation

Decimal	8402832
Binary	100000000011011110010000 (24 bits)
Octal	0o40033620
Hexadecimal	0x803790

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 367 424 432 477 636 734 848 954 1,101 1,272 1,431 1,468 1,908 2,202 2,544 2,862 2,936 3,303 3,816 4,404 5,724 5,872 6,606 7,632 8,808 9,909 11,448 13,212 17,616 19,451 19,818 22,896 26,424 38,902 39,636 52,848

Collatz Trajectory (137 steps to reach 1)

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

8,402,832 4,201,416 2,100,708 1,050,354 525,177 1,575,532 787,766 393,883 1,181,650 590,825 1,772,476 886,238 443,119 1,329,358 664,679 1,994,038 997,019 2,991,058 1,495,529 4,486,588 2,243,294 1,121,647 3,364,942 1,682,471 5,047,414 2,523,707 7,571,122 3,785,561 11,356,684 5,678,342 2,839,171 8,517,514 4,258,757 12,776,272 6,388,136 3,194,068 1,597,034 798,517 2,395,552 1,197,776 598,888 299,444 149,722 74,861 224,584 112,292 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595 319,786

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