λ
Integer Codex

2,649,031

7 × 11 × 34403
Deficient Odd Composite

For 2,649,031, the 8 positive divisors have a total of 3,302,784. Removing 2,649,031 leaves 653,753, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 11 × 34403
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,302,784
Proper Divisor Sum 653,753
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2649011 ← → #2649067

Radix Representation

Decimal 2649031
Binary 1010000110101111000111 (22 bits)
Octal 0o12065707
Hexadecimal 0x286BC7

Divisor Catalog (8)

1 7 11 77 34,403 240,821 378,433 2,649,031

Collatz Trajectory (218 steps to reach 1)

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

2,649,031 7,947,094 3,973,547 11,920,642 5,960,321 17,880,964 8,940,482 4,470,241 13,410,724 6,705,362 3,352,681 10,058,044 5,029,022 2,514,511 7,543,534 3,771,767 11,315,302 5,657,651 16,972,954 8,486,477 25,459,432 12,729,716 6,364,858 3,182,429 9,547,288 4,773,644 2,386,822 1,193,411 3,580,234 1,790,117 5,370,352 2,685,176 1,342,588 671,294 335,647 1,006,942 503,471 1,510,414 755,207 2,265,622 1,132,811 3,398,434 1,699,217 5,097,652 2,548,826 1,274,413 3,823,240 1,911,620 955,810 477,905 1,433,716 716,858 358,429 1,075,288 537,644 268,822 134,411 403,234 201,617 604,852

More profiles

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