67,775,733

3² × 23 × 327419

67,775,733 factors as 3^2 × 23 × 327419. Its 12 positive divisors give a proper-divisor sum of 34,379,307, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 327419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 102,155,040

Proper Divisor Sum 34,379,307

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #67775731 ← → #67775737

Radix Representation

Decimal	67775733
Binary	100000010100010110011110101 (27 bits)
Octal	0o402426365
Hexadecimal	0x40A2CF5

Divisor Catalog (12)

1 3 9 23 69 207 327,419 982,257 2,946,771 7,530,637 22,591,911 67,775,733

Collatz Trajectory (158 steps to reach 1)

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

67,775,733 203,327,200 101,663,600 50,831,800 25,415,900 12,707,950 6,353,975 19,061,926 9,530,963 28,592,890 14,296,445 42,889,336 21,444,668 10,722,334 5,361,167 16,083,502 8,041,751 24,125,254 12,062,627 36,187,882 18,093,941 54,281,824 27,140,912 13,570,456 6,785,228 3,392,614 1,696,307 5,088,922 2,544,461 7,633,384 3,816,692 1,908,346 954,173 2,862,520 1,431,260 715,630 357,815 1,073,446 536,723 1,610,170 805,085 2,415,256 1,207,628 603,814 301,907 905,722 452,861 1,358,584 679,292 339,646 169,823 509,470 254,735 764,206 382,103 1,146,310 573,155 1,719,466 859,733 2,579,200

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