4,809,009

3 × 293 × 5471

4,809,009 has digital root 3. The neighboring primes are 4808987 and 4809017; its proper-divisor sum differs from the starting integer by -3,182,946.

Prime Factor Structure

Factorization String 3 × 293 × 5471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,435,072

Proper Divisor Sum 1,626,063

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4808987 ← → #4809017

Radix Representation

Decimal	4809009
Binary	10010010110000100110001 (23 bits)
Octal	0o22260461
Hexadecimal	0x496131

Divisor Catalog (8)

1 3 293 879 5,471 16,413 1,603,003 4,809,009

Collatz Trajectory (144 steps to reach 1)

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

4,809,009 14,427,028 7,213,514 3,606,757 10,820,272 5,410,136 2,705,068 1,352,534 676,267 2,028,802 1,014,401 3,043,204 1,521,602 760,801 2,282,404 1,141,202 570,601 1,711,804 855,902 427,951 1,283,854 641,927 1,925,782 962,891 2,888,674 1,444,337 4,333,012 2,166,506 1,083,253 3,249,760 1,624,880 812,440 406,220 203,110 101,555 304,666 152,333 457,000 228,500 114,250 57,125 171,376 85,688 42,844 21,422 10,711 32,134 16,067 48,202 24,101 72,304 36,152 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508

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