λ
Integer Codex

8,152,471

8152471
Deficient Odd Prime

For 8,152,471, the 2 positive divisors have a total of 8,152,472. Removing 8,152,471 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8152471
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,152,472
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8152457 ← → #8152477

Radix Representation

Decimal 8152471
Binary 11111000110010110010111 (23 bits)
Octal 0o37062627
Hexadecimal 0x7C6597

Divisor Catalog (2)

Collatz Trajectory (93 steps to reach 1)

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

8,152,471 24,457,414 12,228,707 36,686,122 18,343,061 55,029,184 27,514,592 13,757,296 6,878,648 3,439,324 1,719,662 859,831 2,579,494 1,289,747 3,869,242 1,934,621 5,803,864 2,901,932 1,450,966 725,483 2,176,450 1,088,225 3,264,676 1,632,338 816,169 2,448,508 1,224,254 612,127 1,836,382 918,191 2,754,574 1,377,287 4,131,862 2,065,931 6,197,794 3,098,897 9,296,692 4,648,346 2,324,173 6,972,520 3,486,260 1,743,130 871,565 2,614,696 1,307,348 653,674 326,837 980,512 490,256 245,128 122,564 61,282 30,641 91,924 45,962 22,981 68,944 34,472 17,236 8,618

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