1,290,177

3² × 7 × 20479

1,290,177 factors as 3^2 × 7 × 20479. Its 12 positive divisors give a proper-divisor sum of 839,743, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 20479

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,129,920

Proper Divisor Sum 839,743

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1290173 ← → #1290199

Radix Representation

Decimal	1290177
Binary	100111010111111000001 (21 bits)
Octal	0o4727701
Hexadecimal	0x13AFC1

Divisor Catalog (12)

1 3 7 9 21 63 20,479 61,437 143,353 184,311 430,059 1,290,177

Collatz Trajectory (72 steps to reach 1)

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

1,290,177 3,870,532 1,935,266 967,633 2,902,900 1,451,450 725,725 2,177,176 1,088,588 544,294 272,147 816,442 408,221 1,224,664 612,332 306,166 153,083 459,250 229,625 688,876 344,438 172,219 516,658 258,329 774,988 387,494 193,747 581,242 290,621 871,864 435,932 217,966 108,983 326,950 163,475 490,426 245,213 735,640 367,820 183,910 91,955 275,866 137,933 413,800 206,900 103,450 51,725 155,176 77,588 38,794 19,397 58,192 29,096 14,548 7,274 3,637 10,912 5,456 2,728 1,364

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