λ
Integer Codex

432,137

432137
Deficient Odd Prime

For 432,137, the 2 positive divisors have a total of 432,138. Removing 432,137 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 432137
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 432,138
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #432121 ← → #432139

Radix Representation

Decimal 432137
Binary 1101001100000001001 (19 bits)
Octal 0o1514011
Hexadecimal 0x69809

Divisor Catalog (2)

Collatz Trajectory (249 steps to reach 1)

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

432,137 1,296,412 648,206 324,103 972,310 486,155 1,458,466 729,233 2,187,700 1,093,850 546,925 1,640,776 820,388 410,194 205,097 615,292 307,646 153,823 461,470 230,735 692,206 346,103 1,038,310 519,155 1,557,466 778,733 2,336,200 1,168,100 584,050 292,025 876,076 438,038 219,019 657,058 328,529 985,588 492,794 246,397 739,192 369,596 184,798 92,399 277,198 138,599 415,798 207,899 623,698 311,849 935,548 467,774 233,887 701,662 350,831 1,052,494 526,247 1,578,742 789,371 2,368,114 1,184,057 3,552,172

More profiles

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