λ
Integer Codex

8,702,131

8702131
Deficient Odd Prime

For 8,702,131, the 2 positive divisors have a total of 8,702,132. Removing 8,702,131 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8702131
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,702,132
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8702107 ← → #8702137

Radix Representation

Decimal 8702131
Binary 100001001100100010110011 (24 bits)
Octal 0o41144263
Hexadecimal 0x84C8B3

Divisor Catalog (2)

Collatz Trajectory (106 steps to reach 1)

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

8,702,131 26,106,394 13,053,197 39,159,592 19,579,796 9,789,898 4,894,949 14,684,848 7,342,424 3,671,212 1,835,606 917,803 2,753,410 1,376,705 4,130,116 2,065,058 1,032,529 3,097,588 1,548,794 774,397 2,323,192 1,161,596 580,798 290,399 871,198 435,599 1,306,798 653,399 1,960,198 980,099 2,940,298 1,470,149 4,410,448 2,205,224 1,102,612 551,306 275,653 826,960 413,480 206,740 103,370 51,685 155,056 77,528 38,764 19,382 9,691 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200

More profiles

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