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Atlas › Integer Profiles › Node 3,370,040

3,370,040

23 × 5 × 173 × 487
Abundant Even Composite

3,370,040 factors as 2^3 × 5 × 173 × 487. Its 32 positive divisors give a proper-divisor sum of 4,272,040, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 173 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,642,080
Proper Divisor Sum 4,272,040
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3370013 ← → #3370043

Radix Representation

Decimal 3370040
Binary 1100110110110000111000 (22 bits)
Octal 0o14666070
Hexadecimal 0x336C38

Divisor Catalog (32)

1 2 4 5 8 10 20 40 173 346 487 692 865 974 1,384 1,730 1,948 2,435 3,460 3,896 4,870 6,920 9,740 19,480 84,251 168,502 337,004 421,255 674,008 842,510 1,685,020 3,370,040

Collatz Trajectory (146 steps to reach 1)

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

3,370,040 1,685,020 842,510 421,255 1,263,766 631,883 1,895,650 947,825 2,843,476 1,421,738 710,869 2,132,608 1,066,304 533,152 266,576 133,288 66,644 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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