λ
Prime Ledger

7,676,511

3 × 2558837
Deficient Odd Composite

7,676,511 has the prime decomposition 3 × 2558837. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2558837
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,235,352
Proper Divisor Sum 2,558,841
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7676507 ← → #7676519

Radix Representation

Decimal 7676511
Binary 11101010010001001011111 (23 bits)
Octal 0o35221137
Hexadecimal 0x75225F

Divisor Catalog (4)

1 3 2,558,837 7,676,511

Collatz Trajectory (248 steps to reach 1)

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

7,676,511 23,029,534 11,514,767 34,544,302 17,272,151 51,816,454 25,908,227 77,724,682 38,862,341 116,587,024 58,293,512 29,146,756 14,573,378 7,286,689 21,860,068 10,930,034 5,465,017 16,395,052 8,197,526 4,098,763 12,296,290 6,148,145 18,444,436 9,222,218 4,611,109 13,833,328 6,916,664 3,458,332 1,729,166 864,583 2,593,750 1,296,875 3,890,626 1,945,313 5,835,940 2,917,970 1,458,985 4,376,956 2,188,478 1,094,239 3,282,718 1,641,359 4,924,078 2,462,039 7,386,118 3,693,059 11,079,178 5,539,589 16,618,768 8,309,384 4,154,692 2,077,346 1,038,673 3,116,020 1,558,010 779,005 2,337,016 1,168,508 584,254 292,127

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