λ
Integer Codex

2,972,478

2 × 3 × 495413
Abundant Even Composite

For 2,972,478, the 8 positive divisors have a total of 5,944,968. Removing 2,972,478 leaves 2,972,490, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 495413
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,944,968
Proper Divisor Sum 2,972,490
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2972449 ← → #2972483

Radix Representation

Decimal 2972478
Binary 1011010101101100111110 (22 bits)
Octal 0o13255476
Hexadecimal 0x2D5B3E

Divisor Catalog (8)

1 2 3 6 495,413 990,826 1,486,239 2,972,478

Collatz Trajectory (164 steps to reach 1)

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

2,972,478 1,486,239 4,458,718 2,229,359 6,688,078 3,344,039 10,032,118 5,016,059 15,048,178 7,524,089 22,572,268 11,286,134 5,643,067 16,929,202 8,464,601 25,393,804 12,696,902 6,348,451 19,045,354 9,522,677 28,568,032 14,284,016 7,142,008 3,571,004 1,785,502 892,751 2,678,254 1,339,127 4,017,382 2,008,691 6,026,074 3,013,037 9,039,112 4,519,556 2,259,778 1,129,889 3,389,668 1,694,834 847,417 2,542,252 1,271,126 635,563 1,906,690 953,345 2,860,036 1,430,018 715,009 2,145,028 1,072,514 536,257 1,608,772 804,386 402,193 1,206,580 603,290 301,645 904,936 452,468 226,234 113,117

More profiles

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