1,237,167

3³ × 45821

For 1,237,167, the 8 positive divisors have a total of 1,832,880. Removing 1,237,167 leaves 595,713, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 45821

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,832,880

Proper Divisor Sum 595,713

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1237163 ← → #1237177

Radix Representation

Decimal	1237167
Binary	100101110000010101111 (21 bits)
Octal	0o4560257
Hexadecimal	0x12E0AF

Divisor Catalog (8)

1 3 9 27 45,821 137,463 412,389 1,237,167

Collatz Trajectory (235 steps to reach 1)

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

1,237,167 3,711,502 1,855,751 5,567,254 2,783,627 8,350,882 4,175,441 12,526,324 6,263,162 3,131,581 9,394,744 4,697,372 2,348,686 1,174,343 3,523,030 1,761,515 5,284,546 2,642,273 7,926,820 3,963,410 1,981,705 5,945,116 2,972,558 1,486,279 4,458,838 2,229,419 6,688,258 3,344,129 10,032,388 5,016,194 2,508,097 7,524,292 3,762,146 1,881,073 5,643,220 2,821,610 1,410,805 4,232,416 2,116,208 1,058,104 529,052 264,526 132,263 396,790 198,395 595,186 297,593 892,780 446,390 223,195 669,586 334,793 1,004,380 502,190 251,095 753,286 376,643 1,129,930 564,965 1,694,896

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