λ
Integer Codex

9,948,133

13 × 765241
Deficient Odd Composite

For 9,948,133, the 4 positive divisors have a total of 10,713,388. Removing 9,948,133 leaves 765,255, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 765241
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,713,388
Proper Divisor Sum 765,255
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9948109 ← → #9948137

Radix Representation

Decimal 9948133
Binary 100101111100101111100101 (24 bits)
Octal 0o45745745
Hexadecimal 0x97CBE5

Divisor Catalog (4)

1 13 765,241 9,948,133

Collatz Trajectory (145 steps to reach 1)

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

9,948,133 29,844,400 14,922,200 7,461,100 3,730,550 1,865,275 5,595,826 2,797,913 8,393,740 4,196,870 2,098,435 6,295,306 3,147,653 9,442,960 4,721,480 2,360,740 1,180,370 590,185 1,770,556 885,278 442,639 1,327,918 663,959 1,991,878 995,939 2,987,818 1,493,909 4,481,728 2,240,864 1,120,432 560,216 280,108 140,054 70,027 210,082 105,041 315,124 157,562 78,781 236,344 118,172 59,086 29,543 88,630 44,315 132,946 66,473 199,420 99,710 49,855 149,566 74,783 224,350 112,175 336,526 168,263 504,790 252,395 757,186 378,593

More profiles

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