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Atlas › Integer Profiles › Node 3,973,288

3,973,288

23 × 11 × 163 × 277
Abundant Even Composite

3,973,288 factors as 2^3 × 11 × 163 × 277. Its 32 positive divisors give a proper-divisor sum of 4,233,272, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 163 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,206,560
Proper Divisor Sum 4,233,272
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3973283 ← → #3973289

Radix Representation

Decimal 3973288
Binary 1111001010000010101000 (22 bits)
Octal 0o17120250
Hexadecimal 0x3CA0A8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 163 277 326 554 652 1,108 1,304 1,793 2,216 3,047 3,586 6,094 7,172 12,188 14,344 24,376 45,151 90,302 180,604 361,208 496,661 993,322 1,986,644 3,973,288

Collatz Trajectory (61 steps to reach 1)

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

3,973,288 1,986,644 993,322 496,661 1,489,984 744,992 372,496 186,248 93,124 46,562 23,281 69,844 34,922 17,461 52,384 26,192 13,096 6,548 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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