5,523,980

2² × 5 × 7 × 11 × 17 × 211

5,523,980 factors as 2^2 × 5 × 7 × 11 × 17 × 211. Its 96 positive divisors give a proper-divisor sum of 9,862,132, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 17 × 211

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 15,386,112

Proper Divisor Sum 9,862,132

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5523967 ← → #5524027

Radix Representation

Decimal	5523980
Binary	10101000100101000001100 (23 bits)
Octal	0o25045014
Hexadecimal	0x544A0C

Divisor Catalog (60 of 96)

1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 211 220 238 308 340 374 385 422 476 595 748 770 844 935 1,055 1,190 1,309 1,477 1,540 1,870 2,110 2,321 2,380 2,618 2,954 3,587 3,740 4,220 4,642 5,236 5,908 6,545 7,174 7,385

Collatz Trajectory (201 steps to reach 1)

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

5,523,980 2,761,990 1,380,995 4,142,986 2,071,493 6,214,480 3,107,240 1,553,620 776,810 388,405 1,165,216 582,608 291,304 145,652 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974

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