λ
Prime Ledger

7,241,003

7 × 112 × 83 × 103
Deficient Odd Composite

7,241,003 has the prime decomposition 7 × 11^2 × 83 × 103. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 7 × 11^2 × 83 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,295,104
Proper Divisor Sum 2,054,101
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7240991 ← → #7241009

Radix Representation

Decimal 7241003
Binary 11011100111110100101011 (23 bits)
Octal 0o33476453
Hexadecimal 0x6E7D2B

Divisor Catalog (24)

1 7 11 77 83 103 121 581 721 847 913 1,133 6,391 7,931 8,549 10,043 12,463 59,843 70,301 87,241 94,039 658,273 1,034,429 7,241,003

Collatz Trajectory (235 steps to reach 1)

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

7,241,003 21,723,010 10,861,505 32,584,516 16,292,258 8,146,129 24,438,388 12,219,194 6,109,597 18,328,792 9,164,396 4,582,198 2,291,099 6,873,298 3,436,649 10,309,948 5,154,974 2,577,487 7,732,462 3,866,231 11,598,694 5,799,347 17,398,042 8,699,021 26,097,064 13,048,532 6,524,266 3,262,133 9,786,400 4,893,200 2,446,600 1,223,300 611,650 305,825 917,476 458,738 229,369 688,108 344,054 172,027 516,082 258,041 774,124 387,062 193,531 580,594 290,297 870,892 435,446 217,723 653,170 326,585 979,756 489,878 244,939 734,818 367,409 1,102,228 551,114 275,557

More profiles

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