λ
Integer Codex

7,107,031

7107031
Deficient Odd Prime

For 7,107,031, the 2 positive divisors have a total of 7,107,032. Removing 7,107,031 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7107031
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,107,032
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #7106999 ← → #7107043

Radix Representation

Decimal 7107031
Binary 11011000111000111010111 (23 bits)
Octal 0o33070727
Hexadecimal 0x6C71D7

Divisor Catalog (2)

1 7,107,031

Collatz Trajectory (266 steps to reach 1)

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

7,107,031 21,321,094 10,660,547 31,981,642 15,990,821 47,972,464 23,986,232 11,993,116 5,996,558 2,998,279 8,994,838 4,497,419 13,492,258 6,746,129 20,238,388 10,119,194 5,059,597 15,178,792 7,589,396 3,794,698 1,897,349 5,692,048 2,846,024 1,423,012 711,506 355,753 1,067,260 533,630 266,815 800,446 400,223 1,200,670 600,335 1,801,006 900,503 2,701,510 1,350,755 4,052,266 2,026,133 6,078,400 3,039,200 1,519,600 759,800 379,900 189,950 94,975 284,926 142,463 427,390 213,695 641,086 320,543 961,630 480,815 1,442,446 721,223 2,163,670 1,081,835 3,245,506 1,622,753

More profiles

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