λ
Integer Codex

2,788,610

2 × 5 × 11 × 101 × 251
Deficient Even Composite

For 2,788,610, the 32 positive divisors have a total of 5,552,064. Removing 2,788,610 leaves 2,763,454, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 101 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,552,064
Proper Divisor Sum 2,763,454
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2788603 ← → #2788619

Radix Representation

Decimal 2788610
Binary 1010101000110100000010 (22 bits)
Octal 0o12506402
Hexadecimal 0x2A8D02

Divisor Catalog (32)

1 2 5 10 11 22 55 101 110 202 251 502 505 1,010 1,111 1,255 2,222 2,510 2,761 5,522 5,555 11,110 13,805 25,351 27,610 50,702 126,755 253,510 278,861 557,722 1,394,305 2,788,610

Collatz Trajectory (275 steps to reach 1)

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

2,788,610 1,394,305 4,182,916 2,091,458 1,045,729 3,137,188 1,568,594 784,297 2,352,892 1,176,446 588,223 1,764,670 882,335 2,647,006 1,323,503 3,970,510 1,985,255 5,955,766 2,977,883 8,933,650 4,466,825 13,400,476 6,700,238 3,350,119 10,050,358 5,025,179 15,075,538 7,537,769 22,613,308 11,306,654 5,653,327 16,959,982 8,479,991 25,439,974 12,719,987 38,159,962 19,079,981 57,239,944 28,619,972 14,309,986 7,154,993 21,464,980 10,732,490 5,366,245 16,098,736 8,049,368 4,024,684 2,012,342 1,006,171 3,018,514 1,509,257 4,527,772 2,263,886 1,131,943 3,395,830 1,697,915 5,093,746 2,546,873 7,640,620 3,820,310

More profiles

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