1,440,309

3 × 13 × 36931

1,440,309 has digital root 3. The neighboring primes are 1440301 and 1440317; its proper-divisor sum differs from the starting integer by -812,426.

Prime Factor Structure

Factorization String 3 × 13 × 36931

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,068,192

Proper Divisor Sum 627,883

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1440301 ← → #1440317

Radix Representation

Decimal	1440309
Binary	101011111101000110101 (21 bits)
Octal	0o5375065
Hexadecimal	0x15FA35

Divisor Catalog (8)

1 3 13 39 36,931 110,793 480,103 1,440,309

Collatz Trajectory (168 steps to reach 1)

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

1,440,309 4,320,928 2,160,464 1,080,232 540,116 270,058 135,029 405,088 202,544 101,272 50,636 25,318 12,659 37,978 18,989 56,968 28,484 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152

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