27,293,596

2² × 11 × 61 × 10169

27,293,596 factors as 2^2 × 11 × 61 × 10169. Its 24 positive divisors give a proper-divisor sum of 25,671,764, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 61 × 10169

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 52,965,360

Proper Divisor Sum 25,671,764

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #27293587 ← → #27293597

Radix Representation

Decimal	27293596
Binary	1101000000111011110011100 (25 bits)
Octal	0o150073634
Hexadecimal	0x1A0779C

Divisor Catalog (24)

Collatz Trajectory (211 steps to reach 1)

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

27,293,596 13,646,798 6,823,399 20,470,198 10,235,099 30,705,298 15,352,649 46,057,948 23,028,974 11,514,487 34,543,462 17,271,731 51,815,194 25,907,597 77,722,792 38,861,396 19,430,698 9,715,349 29,146,048 14,573,024 7,286,512 3,643,256 1,821,628 910,814 455,407 1,366,222 683,111 2,049,334 1,024,667 3,074,002 1,537,001 4,611,004 2,305,502 1,152,751 3,458,254 1,729,127 5,187,382 2,593,691 7,781,074 3,890,537 11,671,612 5,835,806 2,917,903 8,753,710 4,376,855 13,130,566 6,565,283 19,695,850 9,847,925 29,543,776 14,771,888 7,385,944 3,692,972 1,846,486 923,243 2,769,730 1,384,865 4,154,596 2,077,298 1,038,649

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