λ
Modular Archive

189,377

189377
Deficient Odd Prime

The decimal integer 189,377 is 101110001111000001 in binary (18 bits), 561701 in octal and 2E3C1 in hexadecimal. Its digit sum is 35.

Prime Factor Structure

Factorization String 189377
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 189,378
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #189361 ← → #189389

Radix Representation

Decimal 189377
Binary 101110001111000001 (18 bits)
Octal 0o561701
Hexadecimal 0x2E3C1

Divisor Catalog (2)

Collatz Trajectory (103 steps to reach 1)

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

189,377 568,132 284,066 142,033 426,100 213,050 106,525 319,576 159,788 79,894 39,947 119,842 59,921 179,764 89,882 44,941 134,824 67,412 33,706 16,853 50,560 25,280 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

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