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Atlas › Integer Profiles › Node 7,369,720

7,369,720

23 × 5 × 19 × 9697
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 9697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,456,400
Proper Divisor Sum 10,086,680
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7369711 ← → #7369751

Radix Representation

Decimal 7369720
Binary 11100000111001111111000 (23 bits)
Octal 0o34071770
Hexadecimal 0x7073F8

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 9,697 19,394 38,788 48,485 77,576 96,970 184,243 193,940 368,486 387,880 736,972 921,215 1,473,944 1,842,430 3,684,860 7,369,720

Collatz Trajectory (165 steps to reach 1)

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

7,369,720 3,684,860 1,842,430 921,215 2,763,646 1,381,823 4,145,470 2,072,735 6,218,206 3,109,103 9,327,310 4,663,655 13,990,966 6,995,483 20,986,450 10,493,225 31,479,676 15,739,838 7,869,919 23,609,758 11,804,879 35,414,638 17,707,319 53,121,958 26,560,979 79,682,938 39,841,469 119,524,408 59,762,204 29,881,102 14,940,551 44,821,654 22,410,827 67,232,482 33,616,241 100,848,724 50,424,362 25,212,181 75,636,544 37,818,272 18,909,136 9,454,568 4,727,284 2,363,642 1,181,821 3,545,464 1,772,732 886,366 443,183 1,329,550 664,775 1,994,326 997,163 2,991,490 1,495,745 4,487,236 2,243,618 1,121,809 3,365,428 1,682,714

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