1,997,206

2 × 31 × 32213

1,997,206 factors as 2 × 31 × 32213. Its 8 positive divisors give a proper-divisor sum of 1,095,338, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2 × 31 × 32213

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,092,544

Proper Divisor Sum 1,095,338

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1997189 ← → #1997213

Radix Representation

Decimal	1997206
Binary	111100111100110010110 (21 bits)
Octal	0o7474626
Hexadecimal	0x1E7996

Divisor Catalog (8)

1 2 31 62 32,213 64,426 998,603 1,997,206

Collatz Trajectory (78 steps to reach 1)

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

1,997,206 998,603 2,995,810 1,497,905 4,493,716 2,246,858 1,123,429 3,370,288 1,685,144 842,572 421,286 210,643 631,930 315,965 947,896 473,948 236,974 118,487 355,462 177,731 533,194 266,597 799,792 399,896 199,948 99,974 49,987 149,962 74,981 224,944 112,472 56,236 28,118 14,059 42,178 21,089 63,268 31,634 15,817 47,452 23,726 11,863 35,590 17,795 53,386 26,693 80,080 40,040 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352

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