5,556,257

7³ × 97 × 167

5,556,257 factors as 7^3 × 97 × 167. Its 16 positive divisors give a proper-divisor sum of 1,029,343, so this integer is deficient. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 7^3 × 97 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,585,600

Proper Divisor Sum 1,029,343

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5556251 ← → #5556259

Radix Representation

Decimal	5556257
Binary	10101001100100000100001 (23 bits)
Octal	0o25144041
Hexadecimal	0x54C821

Divisor Catalog (16)

1 7 49 97 167 343 679 1,169 4,753 8,183 16,199 33,271 57,281 113,393 793,751 5,556,257

Collatz Trajectory (232 steps to reach 1)

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

5,556,257 16,668,772 8,334,386 4,167,193 12,501,580 6,250,790 3,125,395 9,376,186 4,688,093 14,064,280 7,032,140 3,516,070 1,758,035 5,274,106 2,637,053 7,911,160 3,955,580 1,977,790 988,895 2,966,686 1,483,343 4,450,030 2,225,015 6,675,046 3,337,523 10,012,570 5,006,285 15,018,856 7,509,428 3,754,714 1,877,357 5,632,072 2,816,036 1,408,018 704,009 2,112,028 1,056,014 528,007 1,584,022 792,011 2,376,034 1,188,017 3,564,052 1,782,026 891,013 2,673,040 1,336,520 668,260 334,130 167,065 501,196 250,598 125,299 375,898 187,949 563,848 281,924 140,962 70,481 211,444

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