27,097,204

2² × 53 × 127817

27,097,204 factors as 2^2 × 53 × 127817. Its 12 positive divisors give a proper-divisor sum of 21,218,000, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 53 × 127817

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,315,204

Proper Divisor Sum 21,218,000

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27097171 ← → #27097247

Radix Representation

Decimal	27097204
Binary	1100111010111100001110100 (25 bits)
Octal	0o147274164
Hexadecimal	0x19D7874

Divisor Catalog (12)

1 2 4 53 106 212 127,817 255,634 511,268 6,774,301 13,548,602 27,097,204

Collatz Trajectory (193 steps to reach 1)

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

27,097,204 13,548,602 6,774,301 20,322,904 10,161,452 5,080,726 2,540,363 7,621,090 3,810,545 11,431,636 5,715,818 2,857,909 8,573,728 4,286,864 2,143,432 1,071,716 535,858 267,929 803,788 401,894 200,947 602,842 301,421 904,264 452,132 226,066 113,033 339,100 169,550 84,775 254,326 127,163 381,490 190,745 572,236 286,118 143,059 429,178 214,589 643,768 321,884 160,942 80,471 241,414 120,707 362,122 181,061 543,184 271,592 135,796 67,898 33,949 101,848 50,924 25,462 12,731 38,194 19,097 57,292 28,646

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