λ
Modular Archive

1,827,621

32 × 61 × 3329
Deficient Odd Composite

The decimal integer 1,827,621 is 110111110001100100101 in binary (21 bits), 6761445 in octal and 1BE325 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 61 × 3329
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,683,980
Proper Divisor Sum 856,359
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1827613 ← → #1827647

Radix Representation

Decimal 1827621
Binary 110111110001100100101 (21 bits)
Octal 0o6761445
Hexadecimal 0x1BE325

Divisor Catalog (12)

1 3 9 61 183 549 3,329 9,987 29,961 203,069 609,207 1,827,621

Collatz Trajectory (57 steps to reach 1)

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

1,827,621 5,482,864 2,741,432 1,370,716 685,358 342,679 1,028,038 514,019 1,542,058 771,029 2,313,088 1,156,544 578,272 289,136 144,568 72,284 36,142 18,071 54,214 27,107 81,322 40,661 121,984 60,992 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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