291,663

3² × 23 × 1409

291,663 factors as 3^2 × 23 × 1409. Its 12 positive divisors give a proper-divisor sum of 148,257, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 1409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 439,920

Proper Divisor Sum 148,257

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #291661 ← → #291677

Radix Representation

Decimal	291663
Binary	1000111001101001111 (19 bits)
Octal	0o1071517
Hexadecimal	0x4734F

Divisor Catalog (12)

1 3 9 23 69 207 1,409 4,227 12,681 32,407 97,221 291,663

Collatz Trajectory (70 steps to reach 1)

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

291,663 874,990 437,495 1,312,486 656,243 1,968,730 984,365 2,953,096 1,476,548 738,274 369,137 1,107,412 553,706 276,853 830,560 415,280 207,640 103,820 51,910 25,955 77,866 38,933 116,800 58,400 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53

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