72,169,271

31 × 137 × 16993

72,169,271 factors as 31 × 137 × 16993. Its 8 positive divisors give a proper-divisor sum of 2,876,233, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 31 × 137 × 16993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 75,045,504

Proper Divisor Sum 2,876,233

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #72169249 ← → #72169297

Radix Representation

Decimal	72169271
Binary	100010011010011011100110111 (27 bits)
Octal	0o423233467
Hexadecimal	0x44D3737

Divisor Catalog (8)

1 31 137 4,247 16,993 526,783 2,328,041 72,169,271

Collatz Trajectory (140 steps to reach 1)

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

72,169,271 216,507,814 108,253,907 324,761,722 162,380,861 487,142,584 243,571,292 121,785,646 60,892,823 182,678,470 91,339,235 274,017,706 137,008,853 411,026,560 205,513,280 102,756,640 51,378,320 25,689,160 12,844,580 6,422,290 3,211,145 9,633,436 4,816,718 2,408,359 7,225,078 3,612,539 10,837,618 5,418,809 16,256,428 8,128,214 4,064,107 12,192,322 6,096,161 18,288,484 9,144,242 4,572,121 13,716,364 6,858,182 3,429,091 10,287,274 5,143,637 15,430,912 7,715,456 3,857,728 1,928,864 964,432 482,216 241,108 120,554 60,277 180,832 90,416 45,208 22,604 11,302 5,651 16,954 8,477 25,432 12,716

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