λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,106,848

9,106,848

25 × 32 × 103 × 307
Abundant Even Composite

9,106,848 factors as 2^5 × 3^2 × 103 × 307. Its 72 positive divisors give a proper-divisor sum of 17,127,360, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 103 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,234,208
Proper Divisor Sum 17,127,360
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9106819 ← → #9106859

Radix Representation

Decimal 9106848
Binary 100010101111010110100000 (24 bits)
Octal 0o42572640
Hexadecimal 0x8AF5A0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 307 309 412 614 618 824 921 927 1,228 1,236 1,648 1,842 1,854 2,456 2,472 2,763 3,296 3,684 3,708 4,912 4,944 5,526 7,368 7,416 9,824 9,888 11,052 14,736 14,832 22,104 29,472 29,664 31,621 44,208 63,242 88,416 94,863 126,484 189,726 252,968

Collatz Trajectory (132 steps to reach 1)

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

9,106,848 4,553,424 2,276,712 1,138,356 569,178 284,589 853,768 426,884 213,442 106,721 320,164 160,082 80,041 240,124 120,062 60,031 180,094 90,047 270,142 135,071 405,214 202,607 607,822 303,911 911,734 455,867 1,367,602 683,801 2,051,404 1,025,702 512,851 1,538,554 769,277 2,307,832 1,153,916 576,958 288,479 865,438 432,719 1,298,158 649,079 1,947,238 973,619 2,920,858 1,460,429 4,381,288 2,190,644 1,095,322 547,661 1,642,984 821,492 410,746 205,373 616,120 308,060 154,030 77,015 231,046 115,523 346,570

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,106,847 Browse Full Index Next Integer #9,106,849 →