9,826,792

2³ × 367 × 3347

For 9,826,792, the 16 positive divisors have a total of 18,480,960. Removing 9,826,792 leaves 8,654,168, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 367 × 3347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,480,960

Proper Divisor Sum 8,654,168

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9826777 ← → #9826801

Radix Representation

Decimal	9826792
Binary	100101011111000111101000 (24 bits)
Octal	0o45370750
Hexadecimal	0x95F1E8

Divisor Catalog (16)

1 2 4 8 367 734 1,468 2,936 3,347 6,694 13,388 26,776 1,228,349 2,456,698 4,913,396 9,826,792

Collatz Trajectory (194 steps to reach 1)

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

9,826,792 4,913,396 2,456,698 1,228,349 3,685,048 1,842,524 921,262 460,631 1,381,894 690,947 2,072,842 1,036,421 3,109,264 1,554,632 777,316 388,658 194,329 582,988 291,494 145,747 437,242 218,621 655,864 327,932 163,966 81,983 245,950 122,975 368,926 184,463 553,390 276,695 830,086 415,043 1,245,130 622,565 1,867,696 933,848 466,924 233,462 116,731 350,194 175,097 525,292 262,646 131,323 393,970 196,985 590,956 295,478 147,739 443,218 221,609 664,828 332,414 166,207 498,622 249,311 747,934 373,967

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