λ
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Atlas › Integer Profiles › Node 9,529,440

9,529,440

25 × 3 × 5 × 19853
Abundant Even Composite

9,529,440 factors as 2^5 × 3 × 5 × 19853. Its 48 positive divisors give a proper-divisor sum of 20,489,808, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 19853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,019,248
Proper Divisor Sum 20,489,808
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9529433 ← → #9529441

Radix Representation

Decimal 9529440
Binary 100100010110100001100000 (24 bits)
Octal 0o44264140
Hexadecimal 0x916860

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 19,853 39,706 59,559 79,412 99,265 119,118 158,824 198,530 238,236 297,795 317,648 397,060 476,472 595,590 635,296 794,120 952,944 1,191,180 1,588,240 1,905,888 2,382,360 3,176,480 4,764,720 9,529,440

Collatz Trajectory (101 steps to reach 1)

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

9,529,440 4,764,720 2,382,360 1,191,180 595,590 297,795 893,386 446,693 1,340,080 670,040 335,020 167,510 83,755 251,266 125,633 376,900 188,450 94,225 282,676 141,338 70,669 212,008 106,004 53,002 26,501 79,504 39,752 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084

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