λ
Prime Ledger

9,832,376

23 × 383 × 3209
Deficient Even Composite

9,832,376 has the prime decomposition 2^3 × 383 × 3209. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 383 × 3209
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,489,600
Proper Divisor Sum 8,657,224
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9832373 ← → #9832379

Radix Representation

Decimal 9832376
Binary 100101100000011110111000 (24 bits)
Octal 0o45403670
Hexadecimal 0x9607B8

Divisor Catalog (16)

1 2 4 8 383 766 1,532 3,064 3,209 6,418 12,836 25,672 1,229,047 2,458,094 4,916,188 9,832,376

Collatz Trajectory (145 steps to reach 1)

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

9,832,376 4,916,188 2,458,094 1,229,047 3,687,142 1,843,571 5,530,714 2,765,357 8,296,072 4,148,036 2,074,018 1,037,009 3,111,028 1,555,514 777,757 2,333,272 1,166,636 583,318 291,659 874,978 437,489 1,312,468 656,234 328,117 984,352 492,176 246,088 123,044 61,522 30,761 92,284 46,142 23,071 69,214 34,607 103,822 51,911 155,734 77,867 233,602 116,801 350,404 175,202 87,601 262,804 131,402 65,701 197,104 98,552 49,276 24,638 12,319 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369

More profiles

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