27,709,532

2² × 761 × 9103

27,709,532 factors as 2^2 × 761 × 9103. Its 12 positive divisors give a proper-divisor sum of 20,851,204, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 761 × 9103

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,560,736

Proper Divisor Sum 20,851,204

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #27709531 ← → #27709537

Radix Representation

Decimal	27709532
Binary	1101001101101000001011100 (25 bits)
Octal	0o151550134
Hexadecimal	0x1A6D05C

Divisor Catalog (12)

1 2 4 761 1,522 3,044 9,103 18,206 36,412 6,927,383 13,854,766 27,709,532

Collatz Trajectory (162 steps to reach 1)

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

27,709,532 13,854,766 6,927,383 20,782,150 10,391,075 31,173,226 15,586,613 46,759,840 23,379,920 11,689,960 5,844,980 2,922,490 1,461,245 4,383,736 2,191,868 1,095,934 547,967 1,643,902 821,951 2,465,854 1,232,927 3,698,782 1,849,391 5,548,174 2,774,087 8,322,262 4,161,131 12,483,394 6,241,697 18,725,092 9,362,546 4,681,273 14,043,820 7,021,910 3,510,955 10,532,866 5,266,433 15,799,300 7,899,650 3,949,825 11,849,476 5,924,738 2,962,369 8,887,108 4,443,554 2,221,777 6,665,332 3,332,666 1,666,333 4,999,000 2,499,500 1,249,750 624,875 1,874,626 937,313 2,811,940 1,405,970 702,985 2,108,956 1,054,478

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