27,835,204

2² × 6958801

27,835,204 factors as 2^2 × 6958801. Its 6 positive divisors give a proper-divisor sum of 20,876,410, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 6958801

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 48,711,614

Proper Divisor Sum 20,876,410

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27835201 ← → #27835207

Radix Representation

Decimal	27835204
Binary	1101010001011101101000100 (25 bits)
Octal	0o152135504
Hexadecimal	0x1A8BB44

Divisor Catalog (6)

1 2 4 6,958,801 13,917,602 27,835,204

Collatz Trajectory (224 steps to reach 1)

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

27,835,204 13,917,602 6,958,801 20,876,404 10,438,202 5,219,101 15,657,304 7,828,652 3,914,326 1,957,163 5,871,490 2,935,745 8,807,236 4,403,618 2,201,809 6,605,428 3,302,714 1,651,357 4,954,072 2,477,036 1,238,518 619,259 1,857,778 928,889 2,786,668 1,393,334 696,667 2,090,002 1,045,001 3,135,004 1,567,502 783,751 2,351,254 1,175,627 3,526,882 1,763,441 5,290,324 2,645,162 1,322,581 3,967,744 1,983,872 991,936 495,968 247,984 123,992 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428

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