4,244,084

2² × 13 × 17 × 4801

4,244,084 has digital root 8. The neighboring primes are 4244083 and 4244099; its proper-divisor sum differs from the starting integer by -17,440.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 4801

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,470,728

Proper Divisor Sum 4,226,644

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4244083 ← → #4244099

Radix Representation

Decimal	4244084
Binary	10000001100001001110100 (23 bits)
Octal	0o20141164
Hexadecimal	0x40C274

Divisor Catalog (24)

1 2 4 13 17 26 34 52 68 221 442 884 4,801 9,602 19,204 62,413 81,617 124,826 163,234 249,652 326,468 1,061,021 2,122,042 4,244,084

Collatz Trajectory (167 steps to reach 1)

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

4,244,084 2,122,042 1,061,021 3,183,064 1,591,532 795,766 397,883 1,193,650 596,825 1,790,476 895,238 447,619 1,342,858 671,429 2,014,288 1,007,144 503,572 251,786 125,893 377,680 188,840 94,420 47,210 23,605 70,816 35,408 17,704 8,852 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125

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