2,400,102

2 × 3² × 47 × 2837

2,400,102 has digital root 9. The neighboring primes are 2400089 and 2400107; its proper-divisor sum differs from the starting integer by 512,532.

Prime Factor Structure

Factorization String 2 × 3^2 × 47 × 2837

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,312,736

Proper Divisor Sum 2,912,634

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #2400089 ← → #2400107

Radix Representation

Decimal	2400102
Binary	1001001001111101100110 (22 bits)
Octal	0o11117546
Hexadecimal	0x249F66

Divisor Catalog (24)

1 2 3 6 9 18 47 94 141 282 423 846 2,837 5,674 8,511 17,022 25,533 51,066 133,339 266,678 400,017 800,034 1,200,051 2,400,102

Collatz Trajectory (161 steps to reach 1)

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

2,400,102 1,200,051 3,600,154 1,800,077 5,400,232 2,700,116 1,350,058 675,029 2,025,088 1,012,544 506,272 253,136 126,568 63,284 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430

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