λ
Integer Codex

186,191

186191
Deficient Odd Prime

For 186,191, the 2 positive divisors have a total of 186,192. Removing 186,191 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 186191
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 186,192
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #186187 ← → #186211

Radix Representation

Decimal 186191
Binary 101101011101001111 (18 bits)
Octal 0o553517
Hexadecimal 0x2D74F

Divisor Catalog (2)

Collatz Trajectory (178 steps to reach 1)

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

186,191 558,574 279,287 837,862 418,931 1,256,794 628,397 1,885,192 942,596 471,298 235,649 706,948 353,474 176,737 530,212 265,106 132,553 397,660 198,830 99,415 298,246 149,123 447,370 223,685 671,056 335,528 167,764 83,882 41,941 125,824 62,912 31,456 15,728 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108

More profiles

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