λ
Math Directory

1,494,009

32 × 11 × 15091
Deficient Odd Composite

1,494,009 factors as 3^2 × 11 × 15091. Its 12 positive divisors give a proper-divisor sum of 860,343, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 15091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,354,352
Proper Divisor Sum 860,343
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1493981 ← → #1494019

Radix Representation

Decimal 1494009
Binary 101101100101111111001 (21 bits)
Octal 0o5545771
Hexadecimal 0x16CBF9

Divisor Catalog (12)

1 3 9 11 33 99 15,091 45,273 135,819 166,001 498,003 1,494,009

Collatz Trajectory (119 steps to reach 1)

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

1,494,009 4,482,028 2,241,014 1,120,507 3,361,522 1,680,761 5,042,284 2,521,142 1,260,571 3,781,714 1,890,857 5,672,572 2,836,286 1,418,143 4,254,430 2,127,215 6,381,646 3,190,823 9,572,470 4,786,235 14,358,706 7,179,353 21,538,060 10,769,030 5,384,515 16,153,546 8,076,773 24,230,320 12,115,160 6,057,580 3,028,790 1,514,395 4,543,186 2,271,593 6,814,780 3,407,390 1,703,695 5,111,086 2,555,543 7,666,630 3,833,315 11,499,946 5,749,973 17,249,920 8,624,960 4,312,480 2,156,240 1,078,120 539,060 269,530 134,765 404,296 202,148 101,074 50,537 151,612 75,806 37,903 113,710 56,855

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