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Atlas › Integer Profiles › Node 3,670,160

3,670,160

24 × 5 × 13 × 3529
Abundant Even Composite

3,670,160 factors as 2^4 × 5 × 13 × 3529. Its 40 positive divisors give a proper-divisor sum of 5,521,960, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 3529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,192,120
Proper Divisor Sum 5,521,960
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3670151 ← → #3670169

Radix Representation

Decimal 3670160
Binary 1110000000000010010000 (22 bits)
Octal 0o16000220
Hexadecimal 0x380090

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1,040 3,529 7,058 14,116 17,645 28,232 35,290 45,877 56,464 70,580 91,754 141,160 183,508 229,385 282,320 367,016 458,770 734,032 917,540 1,835,080 3,670,160

Collatz Trajectory (110 steps to reach 1)

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

3,670,160 1,835,080 917,540 458,770 229,385 688,156 344,078 172,039 516,118 258,059 774,178 387,089 1,161,268 580,634 290,317 870,952 435,476 217,738 108,869 326,608 163,304 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887

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