λ
Integer Codex

7,307,249

71 × 101 × 1019
Deficient Odd Composite

For 7,307,249, the 8 positive divisors have a total of 7,490,880. Removing 7,307,249 leaves 183,631, which gives the deficient classification.

Prime Factor Structure

Factorization String 71 × 101 × 1019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,490,880
Proper Divisor Sum 183,631
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7307239 ← → #7307273

Radix Representation

Decimal 7307249
Binary 11011110111111111110001 (23 bits)
Octal 0o33677761
Hexadecimal 0x6F7FF1

Divisor Catalog (8)

1 71 101 1,019 7,171 72,349 102,919 7,307,249

Collatz Trajectory (222 steps to reach 1)

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

7,307,249 21,921,748 10,960,874 5,480,437 16,441,312 8,220,656 4,110,328 2,055,164 1,027,582 513,791 1,541,374 770,687 2,312,062 1,156,031 3,468,094 1,734,047 5,202,142 2,601,071 7,803,214 3,901,607 11,704,822 5,852,411 17,557,234 8,778,617 26,335,852 13,167,926 6,583,963 19,751,890 9,875,945 29,627,836 14,813,918 7,406,959 22,220,878 11,110,439 33,331,318 16,665,659 49,996,978 24,998,489 74,995,468 37,497,734 18,748,867 56,246,602 28,123,301 84,369,904 42,184,952 21,092,476 10,546,238 5,273,119 15,819,358 7,909,679 23,729,038 11,864,519 35,593,558 17,796,779 53,390,338 26,695,169 80,085,508 40,042,754 20,021,377 60,064,132

More profiles

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