220,549

7³ × 643

220,549 factors as 7^3 × 643. Its 8 positive divisors give a proper-divisor sum of 37,051, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 7^3 × 643

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 257,600

Proper Divisor Sum 37,051

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #220543 ← → #220553

Radix Representation

Decimal	220549
Binary	110101110110000101 (18 bits)
Octal	0o656605
Hexadecimal	0x35D85

Divisor Catalog (8)

1 7 49 343 643 4,501 31,507 220,549

Collatz Trajectory (186 steps to reach 1)

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

220,549 661,648 330,824 165,412 82,706 41,353 124,060 62,030 31,015 93,046 46,523 139,570 69,785 209,356 104,678 52,339 157,018 78,509 235,528 117,764 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403

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