λ
Prime Ledger

7,588,721

7 × 1084103
Deficient Odd Composite

7,588,721 has the prime decomposition 7 × 1084103. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1084103
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,672,832
Proper Divisor Sum 1,084,111
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7588709 ← → #7588723

Radix Representation

Decimal 7588721
Binary 11100111100101101110001 (23 bits)
Octal 0o34745561
Hexadecimal 0x73CB71

Divisor Catalog (4)

1 7 1,084,103 7,588,721

Collatz Trajectory (103 steps to reach 1)

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

7,588,721 22,766,164 11,383,082 5,691,541 17,074,624 8,537,312 4,268,656 2,134,328 1,067,164 533,582 266,791 800,374 400,187 1,200,562 600,281 1,800,844 900,422 450,211 1,350,634 675,317 2,025,952 1,012,976 506,488 253,244 126,622 63,311 189,934 94,967 284,902 142,451 427,354 213,677 641,032 320,516 160,258 80,129 240,388 120,194 60,097 180,292 90,146 45,073 135,220 67,610 33,805 101,416 50,708 25,354 12,677 38,032 19,016 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026

More profiles

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