4,200,324

2² × 3 × 541 × 647

4,200,324 has digital root 6. The neighboring primes are 4200319 and 4200341; its proper-divisor sum differs from the starting integer by 1,433,400.

Prime Factor Structure

Factorization String 2^2 × 3 × 541 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,834,048

Proper Divisor Sum 5,633,724

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4200319 ← → #4200341

Radix Representation

Decimal	4200324
Binary	10000000001011110000100 (23 bits)
Octal	0o20013604
Hexadecimal	0x401784

Divisor Catalog (24)

1 2 3 4 6 12 541 647 1,082 1,294 1,623 1,941 2,164 2,588 3,246 3,882 6,492 7,764 350,027 700,054 1,050,081 1,400,108 2,100,162 4,200,324

Collatz Trajectory (154 steps to reach 1)

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

4,200,324 2,100,162 1,050,081 3,150,244 1,575,122 787,561 2,362,684 1,181,342 590,671 1,772,014 886,007 2,658,022 1,329,011 3,987,034 1,993,517 5,980,552 2,990,276 1,495,138 747,569 2,242,708 1,121,354 560,677 1,682,032 841,016 420,508 210,254 105,127 315,382 157,691 473,074 236,537 709,612 354,806 177,403 532,210 266,105 798,316 399,158 199,579 598,738 299,369 898,108 449,054 224,527 673,582 336,791 1,010,374 505,187 1,515,562 757,781 2,273,344 1,136,672 568,336 284,168 142,084 71,042 35,521 106,564 53,282 26,641

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