λ
Prime Ledger

8,030,088

23 × 32 × 11 × 10139
Abundant Even Composite

8,030,088 has the prime decomposition 2^3 × 3^2 × 11 × 10139. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 10139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,727,600
Proper Divisor Sum 15,697,512
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8030081 ← → #8030089

Radix Representation

Decimal 8030088
Binary 11110101000011110001000 (23 bits)
Octal 0o36503610
Hexadecimal 0x7A8788

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 10,139 20,278 30,417 40,556 60,834 81,112 91,251 111,529 121,668 182,502 223,058 243,336 334,587 365,004 446,116 669,174 730,008 892,232 1,003,761 1,338,348 2,007,522 2,676,696 4,015,044 8,030,088

Collatz Trajectory (62 steps to reach 1)

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

8,030,088 4,015,044 2,007,522 1,003,761 3,011,284 1,505,642 752,821 2,258,464 1,129,232 564,616 282,308 141,154 70,577 211,732 105,866 52,933 158,800 79,400 39,700 19,850 9,925 29,776 14,888 7,444 3,722 1,861 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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