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Atlas › Integer Profiles › Node 7,879,040

7,879,040

27 × 5 × 13 × 947
Abundant Even Composite

7,879,040 factors as 2^7 × 5 × 13 × 947. Its 64 positive divisors give a proper-divisor sum of 12,427,120, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 13 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,306,160
Proper Divisor Sum 12,427,120
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7879021 ← → #7879051

Radix Representation

Decimal 7879040
Binary 11110000011100110000000 (23 bits)
Octal 0o36034600
Hexadecimal 0x783980

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 947 1,040 1,664 1,894 2,080 3,788 4,160 4,735 7,576 8,320 9,470 12,311 15,152 18,940 24,622 30,304 37,880 49,244 60,608 61,555 75,760 98,488 121,216 123,110 151,520 196,976 246,220 303,040 393,952 492,440 606,080 787,904 984,880

Collatz Trajectory (155 steps to reach 1)

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

7,879,040 3,939,520 1,969,760 984,880 492,440 246,220 123,110 61,555 184,666 92,333 277,000 138,500 69,250 34,625 103,876 51,938 25,969 77,908 38,954 19,477 58,432 29,216 14,608 7,304 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

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