2,444,640

2⁵ × 3 × 5 × 11 × 463

2,444,640 has digital root 6. The neighboring primes are 2444639 and 2444653; its proper-divisor sum differs from the starting integer by 3,529,536.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 11 × 463

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,418,816

Proper Divisor Sum 5,974,176

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2444639 ← → #2444653

Radix Representation

Decimal	2444640
Binary	1001010100110101100000 (22 bits)
Octal	0o11246540
Hexadecimal	0x254D60

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 463 480 528 660 880 926 1,056 1,320 1,389 1,760 1,852 2,315 2,640 2,778 3,704 4,630 5,093 5,280 5,556 6,945 7,408

Collatz Trajectory (143 steps to reach 1)

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

2,444,640 1,222,320 611,160 305,580 152,790 76,395 229,186 114,593 343,780 171,890 85,945 257,836 128,918 64,459 193,378 96,689 290,068 145,034 72,517 217,552 108,776 54,388 27,194 13,597 40,792 20,396 10,198 5,099 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515

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