λ
Prime Ledger

7,267,359

3 × 11 × 191 × 1153
Deficient Odd Composite

7,267,359 has the prime decomposition 3 × 11 × 191 × 1153. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 191 × 1153
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,635,264
Proper Divisor Sum 3,367,905
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7267349 ← → #7267363

Radix Representation

Decimal 7267359
Binary 11011101110010000011111 (23 bits)
Octal 0o33562037
Hexadecimal 0x6EE41F

Divisor Catalog (16)

1 3 11 33 191 573 1,153 2,101 3,459 6,303 12,683 38,049 220,223 660,669 2,422,453 7,267,359

Collatz Trajectory (129 steps to reach 1)

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

7,267,359 21,802,078 10,901,039 32,703,118 16,351,559 49,054,678 24,527,339 73,582,018 36,791,009 110,373,028 55,186,514 27,593,257 82,779,772 41,389,886 20,694,943 62,084,830 31,042,415 93,127,246 46,563,623 139,690,870 69,845,435 209,536,306 104,768,153 314,304,460 157,152,230 78,576,115 235,728,346 117,864,173 353,592,520 176,796,260 88,398,130 44,199,065 132,597,196 66,298,598 33,149,299 99,447,898 49,723,949 149,171,848 74,585,924 37,292,962 18,646,481 55,939,444 27,969,722 13,984,861 41,954,584 20,977,292 10,488,646 5,244,323 15,732,970 7,866,485 23,599,456 11,799,728 5,899,864 2,949,932 1,474,966 737,483 2,212,450 1,106,225 3,318,676 1,659,338

More profiles

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