λ
Integer Codex

1,197,833

7 × 13 × 13163
Deficient Odd Composite

For 1,197,833, the 8 positive divisors have a total of 1,474,368. Removing 1,197,833 leaves 276,535, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 13 × 13163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,474,368
Proper Divisor Sum 276,535
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1197829 ← → #1197881

Radix Representation

Decimal 1197833
Binary 100100100011100001001 (21 bits)
Octal 0o4443411
Hexadecimal 0x124709

Divisor Catalog (8)

1 7 13 91 13,163 92,141 171,119 1,197,833

Collatz Trajectory (129 steps to reach 1)

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

1,197,833 3,593,500 1,796,750 898,375 2,695,126 1,347,563 4,042,690 2,021,345 6,064,036 3,032,018 1,516,009 4,548,028 2,274,014 1,137,007 3,411,022 1,705,511 5,116,534 2,558,267 7,674,802 3,837,401 11,512,204 5,756,102 2,878,051 8,634,154 4,317,077 12,951,232 6,475,616 3,237,808 1,618,904 809,452 404,726 202,363 607,090 303,545 910,636 455,318 227,659 682,978 341,489 1,024,468 512,234 256,117 768,352 384,176 192,088 96,044 48,022 24,011 72,034 36,017 108,052 54,026 27,013 81,040 40,520 20,260 10,130 5,065 15,196 7,598

More profiles

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