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Atlas › Integer Profiles › Node 8,327,360

8,327,360

26 × 5 × 53 × 491
Abundant Even Composite

8,327,360 factors as 2^6 × 5 × 53 × 491. Its 56 positive divisors give a proper-divisor sum of 11,917,456, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 53 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 20,244,816
Proper Divisor Sum 11,917,456
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8327359 ← → #8327381

Radix Representation

Decimal 8327360
Binary 11111110001000011000000 (23 bits)
Octal 0o37610300
Hexadecimal 0x7F10C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 491 530 848 982 1,060 1,696 1,964 2,120 2,455 3,392 3,928 4,240 4,910 7,856 8,480 9,820 15,712 16,960 19,640 26,023 31,424 39,280 52,046 78,560 104,092 130,115 157,120 208,184 260,230 416,368 520,460 832,736 1,040,920 1,665,472 2,081,840 4,163,680 8,327,360

Collatz Trajectory (75 steps to reach 1)

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

8,327,360 4,163,680 2,081,840 1,040,920 520,460 260,230 130,115 390,346 195,173 585,520 292,760 146,380 73,190 36,595 109,786 54,893 164,680 82,340 41,170 20,585 61,756 30,878 15,439 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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