5,527,522

2 × 7 × 11² × 13 × 251

For 5,527,522, the 48 positive divisors have a total of 11,261,376. Removing 5,527,522 leaves 5,733,854, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 13 × 251

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,261,376

Proper Divisor Sum 5,733,854

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5527481 ← → #5527531

Radix Representation

Decimal	5527522
Binary	10101000101011111100010 (23 bits)
Octal	0o25053742
Hexadecimal	0x5457E2

Divisor Catalog (48)

1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 251 286 502 847 1,001 1,573 1,694 1,757 2,002 2,761 3,146 3,263 3,514 5,522 6,526 11,011 19,327 22,022 22,841 30,371 35,893 38,654 45,682 60,742 71,786 212,597 251,251 394,823 425,194 502,502 789,646 2,763,761 5,527,522

Collatz Trajectory (188 steps to reach 1)

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

5,527,522 2,763,761 8,291,284 4,145,642 2,072,821 6,218,464 3,109,232 1,554,616 777,308 388,654 194,327 582,982 291,491 874,474 437,237 1,311,712 655,856 327,928 163,964 81,982 40,991 122,974 61,487 184,462 92,231 276,694 138,347 415,042 207,521 622,564 311,282 155,641 466,924 233,462 116,731 350,194 175,097 525,292 262,646 131,323 393,970 196,985 590,956 295,478 147,739 443,218 221,609 664,828 332,414 166,207 498,622 249,311 747,934 373,967 1,121,902 560,951 1,682,854 841,427 2,524,282 1,262,141

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