λ
Prime Ledger

1,827,333

33 × 67679
Deficient Odd Composite

1,827,333 has the prime decomposition 3^3 × 67679. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 67679
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,707,200
Proper Divisor Sum 879,867
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1827311 ← → #1827337

Radix Representation

Decimal 1827333
Binary 110111110001000000101 (21 bits)
Octal 0o6761005
Hexadecimal 0x1BE205

Divisor Catalog (8)

1 3 9 27 67,679 203,037 609,111 1,827,333

Collatz Trajectory (145 steps to reach 1)

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

1,827,333 5,482,000 2,741,000 1,370,500 685,250 342,625 1,027,876 513,938 256,969 770,908 385,454 192,727 578,182 289,091 867,274 433,637 1,300,912 650,456 325,228 162,614 81,307 243,922 121,961 365,884 182,942 91,471 274,414 137,207 411,622 205,811 617,434 308,717 926,152 463,076 231,538 115,769 347,308 173,654 86,827 260,482 130,241 390,724 195,362 97,681 293,044 146,522 73,261 219,784 109,892 54,946 27,473 82,420 41,210 20,605 61,816 30,908 15,454 7,727 23,182 11,591

More profiles

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