λ
Integer Codex

7,622,907

3 × 2540969
Deficient Odd Composite

For 7,622,907, the 4 positive divisors have a total of 10,163,880. Removing 7,622,907 leaves 2,540,973, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 2540969
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,163,880
Proper Divisor Sum 2,540,973
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7622897 ← → #7622917

Radix Representation

Decimal 7622907
Binary 11101000101000011111011 (23 bits)
Octal 0o35050373
Hexadecimal 0x7450FB

Divisor Catalog (4)

1 3 2,540,969 7,622,907

Collatz Trajectory (248 steps to reach 1)

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

7,622,907 22,868,722 11,434,361 34,303,084 17,151,542 8,575,771 25,727,314 12,863,657 38,590,972 19,295,486 9,647,743 28,943,230 14,471,615 43,414,846 21,707,423 65,122,270 32,561,135 97,683,406 48,841,703 146,525,110 73,262,555 219,787,666 109,893,833 329,681,500 164,840,750 82,420,375 247,261,126 123,630,563 370,891,690 185,445,845 556,337,536 278,168,768 139,084,384 69,542,192 34,771,096 17,385,548 8,692,774 4,346,387 13,039,162 6,519,581 19,558,744 9,779,372 4,889,686 2,444,843 7,334,530 3,667,265 11,001,796 5,500,898 2,750,449 8,251,348 4,125,674 2,062,837 6,188,512 3,094,256 1,547,128 773,564 386,782 193,391 580,174 290,087

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