λ
Prime Ledger

9,827,567

1087 × 9041
Deficient Odd Composite

9,827,567 has the prime decomposition 1087 × 9041. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 1087 × 9041
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,837,696
Proper Divisor Sum 10,129
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9827561 ← → #9827569

Radix Representation

Decimal 9827567
Binary 100101011111010011101111 (24 bits)
Octal 0o45372357
Hexadecimal 0x95F4EF

Divisor Catalog (4)

1 1,087 9,041 9,827,567

Collatz Trajectory (344 steps to reach 1)

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

9,827,567 29,482,702 14,741,351 44,224,054 22,112,027 66,336,082 33,168,041 99,504,124 49,752,062 24,876,031 74,628,094 37,314,047 111,942,142 55,971,071 167,913,214 83,956,607 251,869,822 125,934,911 377,804,734 188,902,367 566,707,102 283,353,551 850,060,654 425,030,327 1,275,090,982 637,545,491 1,912,636,474 956,318,237 2,868,954,712 1,434,477,356 717,238,678 358,619,339 1,075,858,018 537,929,009 1,613,787,028 806,893,514 403,446,757 1,210,340,272 605,170,136 302,585,068 151,292,534 75,646,267 226,938,802 113,469,401 340,408,204 170,204,102 85,102,051 255,306,154 127,653,077 382,959,232 191,479,616 95,739,808 47,869,904 23,934,952 11,967,476 5,983,738 2,991,869 8,975,608 4,487,804 2,243,902

More profiles

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