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Atlas › Integer Profiles › Node 3,590,640

3,590,640

24 × 32 × 5 × 4987
Abundant Even Composite

3,590,640 factors as 2^4 × 3^2 × 5 × 4987. Its 60 positive divisors give a proper-divisor sum of 8,470,344, so this integer is abundant. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 4987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,060,984
Proper Divisor Sum 8,470,344
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3590627 ← → #3590641

Radix Representation

Decimal 3590640
Binary 1101101100100111110000 (22 bits)
Octal 0o15544760
Hexadecimal 0x36C9F0

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4,987 9,974 14,961 19,948 24,935 29,922 39,896 44,883 49,870 59,844 74,805 79,792 89,766 99,740 119,688 149,610 179,532 199,480 224,415 239,376 299,220 359,064 398,960 448,830 598,440 718,128 897,660 1,196,880 1,795,320 3,590,640

Collatz Trajectory (265 steps to reach 1)

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

3,590,640 1,795,320 897,660 448,830 224,415 673,246 336,623 1,009,870 504,935 1,514,806 757,403 2,272,210 1,136,105 3,408,316 1,704,158 852,079 2,556,238 1,278,119 3,834,358 1,917,179 5,751,538 2,875,769 8,627,308 4,313,654 2,156,827 6,470,482 3,235,241 9,705,724 4,852,862 2,426,431 7,279,294 3,639,647 10,918,942 5,459,471 16,378,414 8,189,207 24,567,622 12,283,811 36,851,434 18,425,717 55,277,152 27,638,576 13,819,288 6,909,644 3,454,822 1,727,411 5,182,234 2,591,117 7,773,352 3,886,676 1,943,338 971,669 2,915,008 1,457,504 728,752 364,376 182,188 91,094 45,547 136,642

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