λ
Ratio Atlas

1,579,627

7 × 113 × 1997
Deficient Odd Composite

1,579,627 factors as 7 × 113 × 1997. Its 8 positive divisors give a proper-divisor sum of 242,549, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 7 × 113 × 1997
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,822,176
Proper Divisor Sum 242,549
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1579621 ← → #1579631

Radix Representation

Decimal 1579627
Binary 110000001101001101011 (21 bits)
Octal 0o6015153
Hexadecimal 0x181A6B

Divisor Catalog (8)

1 7 113 791 1,997 13,979 225,661 1,579,627

Collatz Trajectory (163 steps to reach 1)

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

1,579,627 4,738,882 2,369,441 7,108,324 3,554,162 1,777,081 5,331,244 2,665,622 1,332,811 3,998,434 1,999,217 5,997,652 2,998,826 1,499,413 4,498,240 2,249,120 1,124,560 562,280 281,140 140,570 70,285 210,856 105,428 52,714 26,357 79,072 39,536 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47

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