5,249,584

2⁴ × 59 × 67 × 83

5,249,584 has the prime decomposition 2^4 × 59 × 67 × 83. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 59 × 67 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,624,320

Proper Divisor Sum 5,374,736

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5249581 ← → #5249591

Radix Representation

Decimal	5249584
Binary	10100000001101000110000 (23 bits)
Octal	0o24015060
Hexadecimal	0x501A30

Divisor Catalog (40)

1 2 4 8 16 59 67 83 118 134 166 236 268 332 472 536 664 944 1,072 1,328 3,953 4,897 5,561 7,906 9,794 11,122 15,812 19,588 22,244 31,624 39,176 44,488 63,248 78,352 88,976 328,099 656,198 1,312,396 2,624,792 5,249,584

Collatz Trajectory (188 steps to reach 1)

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

5,249,584 2,624,792 1,312,396 656,198 328,099 984,298 492,149 1,476,448 738,224 369,112 184,556 92,278 46,139 138,418 69,209 207,628 103,814 51,907 155,722 77,861 233,584 116,792 58,396 29,198 14,599 43,798 21,899 65,698 32,849 98,548 49,274 24,637 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560

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