27,906,325

5² × 37 × 30169

27,906,325 factors as 5^2 × 37 × 30169. Its 12 positive divisors give a proper-divisor sum of 7,633,935, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 5^2 × 37 × 30169

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 35,540,260

Proper Divisor Sum 7,633,935

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #27906317 ← → #27906331

Radix Representation

Decimal	27906325
Binary	1101010011101000100010101 (25 bits)
Octal	0o152350425
Hexadecimal	0x1A9D115

Divisor Catalog (12)

1 5 25 37 185 925 30,169 150,845 754,225 1,116,253 5,581,265 27,906,325

Collatz Trajectory (162 steps to reach 1)

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

27,906,325 83,718,976 41,859,488 20,929,744 10,464,872 5,232,436 2,616,218 1,308,109 3,924,328 1,962,164 981,082 490,541 1,471,624 735,812 367,906 183,953 551,860 275,930 137,965 413,896 206,948 103,474 51,737 155,212 77,606 38,803 116,410 58,205 174,616 87,308 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510

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