5,837,566

2 × 7² × 59567

5,837,566 factors as 2 × 7^2 × 59567. Its 12 positive divisors give a proper-divisor sum of 4,348,562, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 59567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,186,128

Proper Divisor Sum 4,348,562

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #5837543 ← → #5837567

Radix Representation

Decimal	5837566
Binary	10110010001001011111110 (23 bits)
Octal	0o26211376
Hexadecimal	0x5912FE

Divisor Catalog (12)

1 2 7 14 49 98 59,567 119,134 416,969 833,938 2,918,783 5,837,566

Collatz Trajectory (183 steps to reach 1)

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

5,837,566 2,918,783 8,756,350 4,378,175 13,134,526 6,567,263 19,701,790 9,850,895 29,552,686 14,776,343 44,329,030 22,164,515 66,493,546 33,246,773 99,740,320 49,870,160 24,935,080 12,467,540 6,233,770 3,116,885 9,350,656 4,675,328 2,337,664 1,168,832 584,416 292,208 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030

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