λ
Sigma Notebook

7,306,351

13 × 73 × 7699
Deficient Odd Composite

7,306,351 is odd and not a perfect square. Its factorization is 13 × 73 × 7699 and its 8 divisors sum to 7,977,200.

Prime Factor Structure

Factorization String 13 × 73 × 7699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,977,200
Proper Divisor Sum 670,849
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7306339 ← → #7306363

Radix Representation

Decimal 7306351
Binary 11011110111110001101111 (23 bits)
Octal 0o33676157
Hexadecimal 0x6F7C6F

Divisor Catalog (8)

1 13 73 949 7,699 100,087 562,027 7,306,351

Collatz Trajectory (173 steps to reach 1)

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

7,306,351 21,919,054 10,959,527 32,878,582 16,439,291 49,317,874 24,658,937 73,976,812 36,988,406 18,494,203 55,482,610 27,741,305 83,223,916 41,611,958 20,805,979 62,417,938 31,208,969 93,626,908 46,813,454 23,406,727 70,220,182 35,110,091 105,330,274 52,665,137 157,995,412 78,997,706 39,498,853 118,496,560 59,248,280 29,624,140 14,812,070 7,406,035 22,218,106 11,109,053 33,327,160 16,663,580 8,331,790 4,165,895 12,497,686 6,248,843 18,746,530 9,373,265 28,119,796 14,059,898 7,029,949 21,089,848 10,544,924 5,272,462 2,636,231 7,908,694 3,954,347 11,863,042 5,931,521 17,794,564 8,897,282 4,448,641 13,345,924 6,672,962 3,336,481 10,009,444

More profiles

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