1,091,313

3⁷ × 499

1,091,313 factors as 3^7 × 499. Its 16 positive divisors give a proper-divisor sum of 548,687, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3^7 × 499

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,640,000

Proper Divisor Sum 548,687

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1091287 ← → #1091329

Radix Representation

Decimal	1091313
Binary	100001010011011110001 (21 bits)
Octal	0o4123361
Hexadecimal	0x10A6F1

Divisor Catalog (16)

1 3 9 27 81 243 499 729 1,497 2,187 4,491 13,473 40,419 121,257 363,771 1,091,313

Collatz Trajectory (147 steps to reach 1)

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

1,091,313 3,273,940 1,636,970 818,485 2,455,456 1,227,728 613,864 306,932 153,466 76,733 230,200 115,100 57,550 28,775 86,326 43,163 129,490 64,745 194,236 97,118 48,559 145,678 72,839 218,518 109,259 327,778 163,889 491,668 245,834 122,917 368,752 184,376 92,188 46,094 23,047 69,142 34,571 103,714 51,857 155,572 77,786 38,893 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923

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