2,408,826

2 × 3 × 7 × 83 × 691

2,408,826 has digital root 3. The neighboring primes are 2408773 and 2408837; its proper-divisor sum differs from the starting integer by 762,636.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 83 × 691

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,580,288

Proper Divisor Sum 3,171,462

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2408773 ← → #2408837

Radix Representation

Decimal	2408826
Binary	1001001100000101111010 (22 bits)
Octal	0o11140572
Hexadecimal	0x24C17A

Divisor Catalog (32)

1 2 3 6 7 14 21 42 83 166 249 498 581 691 1,162 1,382 1,743 2,073 3,486 4,146 4,837 9,674 14,511 29,022 57,353 114,706 172,059 344,118 401,471 802,942 1,204,413 2,408,826

Collatz Trajectory (91 steps to reach 1)

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

2,408,826 1,204,413 3,613,240 1,806,620 903,310 451,655 1,354,966 677,483 2,032,450 1,016,225 3,048,676 1,524,338 762,169 2,286,508 1,143,254 571,627 1,714,882 857,441 2,572,324 1,286,162 643,081 1,929,244 964,622 482,311 1,446,934 723,467 2,170,402 1,085,201 3,255,604 1,627,802 813,901 2,441,704 1,220,852 610,426 305,213 915,640 457,820 228,910 114,455 343,366 171,683 515,050 257,525 772,576 386,288 193,144 96,572 48,286 24,143 72,430 36,215 108,646 54,323 162,970 81,485 244,456 122,228 61,114 30,557 91,672

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