λ
Prime Ledger

7,680,049

13 × 193 × 3061
Deficient Odd Composite

7,680,049 has the prime decomposition 13 × 193 × 3061. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 193 × 3061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,316,392
Proper Divisor Sum 636,343
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7680037 ← → #7680059

Radix Representation

Decimal 7680049
Binary 11101010011000000110001 (23 bits)
Octal 0o35230061
Hexadecimal 0x753031

Divisor Catalog (8)

1 13 193 2,509 3,061 39,793 590,773 7,680,049

Collatz Trajectory (72 steps to reach 1)

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

7,680,049 23,040,148 11,520,074 5,760,037 17,280,112 8,640,056 4,320,028 2,160,014 1,080,007 3,240,022 1,620,011 4,860,034 2,430,017 7,290,052 3,645,026 1,822,513 5,467,540 2,733,770 1,366,885 4,100,656 2,050,328 1,025,164 512,582 256,291 768,874 384,437 1,153,312 576,656 288,328 144,164 72,082 36,041 108,124 54,062 27,031 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226

More profiles

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