5,525,247

3 × 7 × 13 × 37 × 547

5,525,247 factors as 3 × 7 × 13 × 37 × 547. Its 32 positive divisors give a proper-divisor sum of 3,803,905, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 37 × 547

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,329,152

Proper Divisor Sum 3,803,905

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5525239 ← → #5525251

Radix Representation

Decimal	5525247
Binary	10101000100111011111111 (23 bits)
Octal	0o25047377
Hexadecimal	0x544EFF

Divisor Catalog (32)

1 3 7 13 21 37 39 91 111 259 273 481 547 777 1,443 1,641 3,367 3,829 7,111 10,101 11,487 20,239 21,333 49,777 60,717 141,673 149,331 263,107 425,019 789,321 1,841,749 5,525,247

Collatz Trajectory (188 steps to reach 1)

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

5,525,247 16,575,742 8,287,871 24,863,614 12,431,807 37,295,422 18,647,711 55,943,134 27,971,567 83,914,702 41,957,351 125,872,054 62,936,027 188,808,082 94,404,041 283,212,124 141,606,062 70,803,031 212,409,094 106,204,547 318,613,642 159,306,821 477,920,464 238,960,232 119,480,116 59,740,058 29,870,029 89,610,088 44,805,044 22,402,522 11,201,261 33,603,784 16,801,892 8,400,946 4,200,473 12,601,420 6,300,710 3,150,355 9,451,066 4,725,533 14,176,600 7,088,300 3,544,150 1,772,075 5,316,226 2,658,113 7,974,340 3,987,170 1,993,585 5,980,756 2,990,378 1,495,189 4,485,568 2,242,784 1,121,392 560,696 280,348 140,174 70,087 210,262

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