8,272,155

3 × 5 × 67 × 8231

For 8,272,155, the 16 positive divisors have a total of 13,434,624. Removing 8,272,155 leaves 5,162,469, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 67 × 8231

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,434,624

Proper Divisor Sum 5,162,469

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8272153 ← → #8272171

Radix Representation

Decimal	8272155
Binary	11111100011100100011011 (23 bits)
Octal	0o37434433
Hexadecimal	0x7E391B

Divisor Catalog (16)

1 3 5 15 67 201 335 1,005 8,231 24,693 41,155 123,465 551,477 1,654,431 2,757,385 8,272,155

Collatz Trajectory (212 steps to reach 1)

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

8,272,155 24,816,466 12,408,233 37,224,700 18,612,350 9,306,175 27,918,526 13,959,263 41,877,790 20,938,895 62,816,686 31,408,343 94,225,030 47,112,515 141,337,546 70,668,773 212,006,320 106,003,160 53,001,580 26,500,790 13,250,395 39,751,186 19,875,593 59,626,780 29,813,390 14,906,695 44,720,086 22,360,043 67,080,130 33,540,065 100,620,196 50,310,098 25,155,049 75,465,148 37,732,574 18,866,287 56,598,862 28,299,431 84,898,294 42,449,147 127,347,442 63,673,721 191,021,164 95,510,582 47,755,291 143,265,874 71,632,937 214,898,812 107,449,406 53,724,703 161,174,110 80,587,055 241,761,166 120,880,583 362,641,750 181,320,875 543,962,626 271,981,313 815,943,940 407,971,970

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