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Atlas › Integer Profiles › Node 7,309,740

7,309,740

22 × 3 × 5 × 29 × 4201
Abundant Even Composite

7,309,740 factors as 2^2 × 3 × 5 × 29 × 4201. Its 48 positive divisors give a proper-divisor sum of 13,868,340, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 4201
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,178,080
Proper Divisor Sum 13,868,340
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7309723 ← → #7309741

Radix Representation

Decimal 7309740
Binary 11011111000100110101100 (23 bits)
Octal 0o33704654
Hexadecimal 0x6F89AC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1,740 4,201 8,402 12,603 16,804 21,005 25,206 42,010 50,412 63,015 84,020 121,829 126,030 243,658 252,060 365,487 487,316 609,145 730,974 1,218,290 1,461,948 1,827,435 2,436,580 3,654,870 7,309,740

Collatz Trajectory (147 steps to reach 1)

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

7,309,740 3,654,870 1,827,435 5,482,306 2,741,153 8,223,460 4,111,730 2,055,865 6,167,596 3,083,798 1,541,899 4,625,698 2,312,849 6,938,548 3,469,274 1,734,637 5,203,912 2,601,956 1,300,978 650,489 1,951,468 975,734 487,867 1,463,602 731,801 2,195,404 1,097,702 548,851 1,646,554 823,277 2,469,832 1,234,916 617,458 308,729 926,188 463,094 231,547 694,642 347,321 1,041,964 520,982 260,491 781,474 390,737 1,172,212 586,106 293,053 879,160 439,580 219,790 109,895 329,686 164,843 494,530 247,265 741,796 370,898 185,449 556,348 278,174

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