27,642,167

7 × 3948881

27,642,167 factors as 7 × 3948881. Its 4 positive divisors give a proper-divisor sum of 3,948,889, so this integer is deficient. The Collatz stopping time is 299 steps.

Prime Factor Structure

Factorization String 7 × 3948881

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 31,591,056

Proper Divisor Sum 3,948,889

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #27642161 ← → #27642193

Radix Representation

Decimal	27642167
Binary	1101001011100100100110111 (25 bits)
Octal	0o151344467
Hexadecimal	0x1A5C937

Divisor Catalog (4)

1 7 3,948,881 27,642,167

Collatz Trajectory (299 steps to reach 1)

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

27,642,167 82,926,502 41,463,251 124,389,754 62,194,877 186,584,632 93,292,316 46,646,158 23,323,079 69,969,238 34,984,619 104,953,858 52,476,929 157,430,788 78,715,394 39,357,697 118,073,092 59,036,546 29,518,273 88,554,820 44,277,410 22,138,705 66,416,116 33,208,058 16,604,029 49,812,088 24,906,044 12,453,022 6,226,511 18,679,534 9,339,767 28,019,302 14,009,651 42,028,954 21,014,477 63,043,432 31,521,716 15,760,858 7,880,429 23,641,288 11,820,644 5,910,322 2,955,161 8,865,484 4,432,742 2,216,371 6,649,114 3,324,557 9,973,672 4,986,836 2,493,418 1,246,709 3,740,128 1,870,064 935,032 467,516 233,758 116,879 350,638 175,319

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