λ
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8,304,940

22 × 5 × 7 × 137 × 433
Abundant Even Composite

8,304,940 factors as 2^2 × 5 × 7 × 137 × 433. Its 48 positive divisors give a proper-divisor sum of 11,818,772, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 137 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,123,712
Proper Divisor Sum 11,818,772
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8304937 ← → #8304943

Radix Representation

Decimal 8304940
Binary 11111101011100100101100 (23 bits)
Octal 0o37534454
Hexadecimal 0x7EB92C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 137 140 274 433 548 685 866 959 1,370 1,732 1,918 2,165 2,740 3,031 3,836 4,330 4,795 6,062 8,660 9,590 12,124 15,155 19,180 30,310 59,321 60,620 118,642 237,284 296,605 415,247 593,210 830,494 1,186,420 1,660,988 2,076,235 4,152,470 8,304,940

Collatz Trajectory (155 steps to reach 1)

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

8,304,940 4,152,470 2,076,235 6,228,706 3,114,353 9,343,060 4,671,530 2,335,765 7,007,296 3,503,648 1,751,824 875,912 437,956 218,978 109,489 328,468 164,234 82,117 246,352 123,176 61,588 30,794 15,397 46,192 23,096 11,548 5,774 2,887 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788

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