λ
Integer Codex

9,772,039

9772039
Deficient Odd Prime

For 9,772,039, the 2 positive divisors have a total of 9,772,040. Removing 9,772,039 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 9772039
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,772,040
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9772027 ← → #9772057

Radix Representation

Decimal 9772039
Binary 100101010001110000000111 (24 bits)
Octal 0o45216007
Hexadecimal 0x951C07

Divisor Catalog (2)

Collatz Trajectory (225 steps to reach 1)

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

9,772,039 29,316,118 14,658,059 43,974,178 21,987,089 65,961,268 32,980,634 16,490,317 49,470,952 24,735,476 12,367,738 6,183,869 18,551,608 9,275,804 4,637,902 2,318,951 6,956,854 3,478,427 10,435,282 5,217,641 15,652,924 7,826,462 3,913,231 11,739,694 5,869,847 17,609,542 8,804,771 26,414,314 13,207,157 39,621,472 19,810,736 9,905,368 4,952,684 2,476,342 1,238,171 3,714,514 1,857,257 5,571,772 2,785,886 1,392,943 4,178,830 2,089,415 6,268,246 3,134,123 9,402,370 4,701,185 14,103,556 7,051,778 3,525,889 10,577,668 5,288,834 2,644,417 7,933,252 3,966,626 1,983,313 5,949,940 2,974,970 1,487,485 4,462,456 2,231,228

More profiles

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