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7,413,616

24 × 7 × 37 × 1789
Abundant Even Composite

7,413,616 factors as 2^4 × 7 × 37 × 1789. Its 40 positive divisors give a proper-divisor sum of 9,455,344, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 37 × 1789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,868,960
Proper Divisor Sum 9,455,344
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7413599 ← → #7413641

Radix Representation

Decimal 7413616
Binary 11100010001111101110000 (23 bits)
Octal 0o34217560
Hexadecimal 0x711F70

Divisor Catalog (40)

1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1,036 1,789 2,072 3,578 4,144 7,156 12,523 14,312 25,046 28,624 50,092 66,193 100,184 132,386 200,368 264,772 463,351 529,544 926,702 1,059,088 1,853,404 3,706,808 7,413,616

Collatz Trajectory (142 steps to reach 1)

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

7,413,616 3,706,808 1,853,404 926,702 463,351 1,390,054 695,027 2,085,082 1,042,541 3,127,624 1,563,812 781,906 390,953 1,172,860 586,430 293,215 879,646 439,823 1,319,470 659,735 1,979,206 989,603 2,968,810 1,484,405 4,453,216 2,226,608 1,113,304 556,652 278,326 139,163 417,490 208,745 626,236 313,118 156,559 469,678 234,839 704,518 352,259 1,056,778 528,389 1,585,168 792,584 396,292 198,146 99,073 297,220 148,610 74,305 222,916 111,458 55,729 167,188 83,594 41,797 125,392 62,696 31,348 15,674 7,837

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