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Atlas › Integer Profiles › Node 27,470,360

27,470,360

23 × 5 × 307 × 2237
Abundant Even Composite

27,470,360 factors as 2^3 × 5 × 307 × 2237. Its 32 positive divisors give a proper-divisor sum of 34,567,000, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 307 × 2237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,037,360
Proper Divisor Sum 34,567,000
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #27470353 ← → #27470363

Radix Representation

Decimal 27470360
Binary 1101000110010101000011000 (25 bits)
Octal 0o150625030
Hexadecimal 0x1A32A18

Divisor Catalog (32)

1 2 4 5 8 10 20 40 307 614 1,228 1,535 2,237 2,456 3,070 4,474 6,140 8,948 11,185 12,280 17,896 22,370 44,740 89,480 686,759 1,373,518 2,747,036 3,433,795 5,494,072 6,867,590 13,735,180 27,470,360

Collatz Trajectory (131 steps to reach 1)

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

27,470,360 13,735,180 6,867,590 3,433,795 10,301,386 5,150,693 15,452,080 7,726,040 3,863,020 1,931,510 965,755 2,897,266 1,448,633 4,345,900 2,172,950 1,086,475 3,259,426 1,629,713 4,889,140 2,444,570 1,222,285 3,666,856 1,833,428 916,714 458,357 1,375,072 687,536 343,768 171,884 85,942 42,971 128,914 64,457 193,372 96,686 48,343 145,030 72,515 217,546 108,773 326,320 163,160 81,580 40,790 20,395 61,186 30,593 91,780 45,890 22,945 68,836 34,418 17,209 51,628 25,814 12,907 38,722 19,361 58,084 29,042

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