λ
Integer Codex

9,129,641

9129641
Deficient Odd Prime

For 9,129,641, the 2 positive divisors have a total of 9,129,642. Removing 9,129,641 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 9129641
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,129,642
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9129619 ← → #9129647

Radix Representation

Decimal 9129641
Binary 100010110100111010101001 (24 bits)
Octal 0o42647251
Hexadecimal 0x8B4EA9

Divisor Catalog (2)

Collatz Trajectory (225 steps to reach 1)

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

9,129,641 27,388,924 13,694,462 6,847,231 20,541,694 10,270,847 30,812,542 15,406,271 46,218,814 23,109,407 69,328,222 34,664,111 103,992,334 51,996,167 155,988,502 77,994,251 233,982,754 116,991,377 350,974,132 175,487,066 87,743,533 263,230,600 131,615,300 65,807,650 32,903,825 98,711,476 49,355,738 24,677,869 74,033,608 37,016,804 18,508,402 9,254,201 27,762,604 13,881,302 6,940,651 20,821,954 10,410,977 31,232,932 15,616,466 7,808,233 23,424,700 11,712,350 5,856,175 17,568,526 8,784,263 26,352,790 13,176,395 39,529,186 19,764,593 59,293,780 29,646,890 14,823,445 44,470,336 22,235,168 11,117,584 5,558,792 2,779,396 1,389,698 694,849 2,084,548

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