8,490,496

2⁹ × 7 × 23 × 103

8,490,496 has the prime decomposition 2^9 × 7 × 23 × 103. Its 4 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 7 × 23 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,427,264

Proper Divisor Sum 11,936,768

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8490491 ← → #8490499

Radix Representation

Decimal	8490496
Binary	100000011000111000000000 (24 bits)
Octal	0o40307000
Hexadecimal	0x818E00

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 23 28 32 46 56 64 92 103 112 128 161 184 206 224 256 322 368 412 448 512 644 721 736 824 896 1,288 1,442 1,472 1,648 1,792 2,369 2,576 2,884 2,944 3,296 3,584 4,738 5,152 5,768 5,888 6,592 9,476 10,304 11,536 11,776 13,184 16,583 18,952 20,608 23,072 26,368 33,166 37,904

Collatz Trajectory (106 steps to reach 1)

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

8,490,496 4,245,248 2,122,624 1,061,312 530,656 265,328 132,664 66,332 33,166 16,583 49,750 24,875 74,626 37,313 111,940 55,970 27,985 83,956 41,978 20,989 62,968 31,484 15,742 7,871 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666 44,833 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744 28,372 14,186 7,093 21,280 10,640 5,320 2,660 1,330 665 1,996 998 499 1,498

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