λ
Integer Codex

7,332,623

37 × 198179
Deficient Odd Composite

For 7,332,623, the 4 positive divisors have a total of 7,530,840. Removing 7,332,623 leaves 198,217, which gives the deficient classification.

Prime Factor Structure

Factorization String 37 × 198179
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,530,840
Proper Divisor Sum 198,217
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7332601 ← → #7332629

Radix Representation

Decimal 7332623
Binary 11011111110001100001111 (23 bits)
Octal 0o33761417
Hexadecimal 0x6FE30F

Divisor Catalog (4)

1 37 198,179 7,332,623

Collatz Trajectory (59 steps to reach 1)

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

7,332,623 21,997,870 10,998,935 32,996,806 16,498,403 49,495,210 24,747,605 74,242,816 37,121,408 18,560,704 9,280,352 4,640,176 2,320,088 1,160,044 580,022 290,011 870,034 435,017 1,305,052 652,526 326,263 978,790 489,395 1,468,186 734,093 2,202,280 1,101,140 550,570 275,285 825,856 412,928 206,464 103,232 51,616 25,808 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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