λ
Sigma Notebook

7,382,830

2 × 5 × 72 × 13 × 19 × 61
Abundant Even Composite

7,382,830 is even and not a perfect square. Its factorization is 2 × 5 × 7^2 × 13 × 19 × 61 and its 96 divisors sum to 17,811,360.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 13 × 19 × 61
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 17,811,360
Proper Divisor Sum 10,428,530
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7382821 ← → #7382833

Radix Representation

Decimal 7382830
Binary 11100001010011100101110 (23 bits)
Octal 0o34123456
Hexadecimal 0x70A72E

Divisor Catalog (60 of 96)

1 2 5 7 10 13 14 19 26 35 38 49 61 65 70 91 95 98 122 130 133 182 190 245 247 266 305 427 455 490 494 610 637 665 793 854 910 931 1,159 1,235 1,274 1,330 1,586 1,729 1,862 2,135 2,318 2,470 2,989 3,185 3,458 3,965 4,270 4,655 5,551 5,795 5,978 6,370 7,930 8,113

Collatz Trajectory (85 steps to reach 1)

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

7,382,830 3,691,415 11,074,246 5,537,123 16,611,370 8,305,685 24,917,056 12,458,528 6,229,264 3,114,632 1,557,316 778,658 389,329 1,167,988 583,994 291,997 875,992 437,996 218,998 109,499 328,498 164,249 492,748 246,374 123,187 369,562 184,781 554,344 277,172 138,586 69,293 207,880 103,940 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301

More profiles

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