27,917,428

2² × 7 × 11 × 90641

27,917,428 factors as 2^2 × 7 × 11 × 90641. Its 24 positive divisors give a proper-divisor sum of 32,993,996, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 90641

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 60,911,424

Proper Divisor Sum 32,993,996

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #27917419 ← → #27917447

Radix Representation

Decimal	27917428
Binary	1101010011111110001110100 (25 bits)
Octal	0o152376164
Hexadecimal	0x1A9FC74

Divisor Catalog (24)

Collatz Trajectory (87 steps to reach 1)

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

27,917,428 13,958,714 6,979,357 20,938,072 10,469,036 5,234,518 2,617,259 7,851,778 3,925,889 11,777,668 5,888,834 2,944,417 8,833,252 4,416,626 2,208,313 6,624,940 3,312,470 1,656,235 4,968,706 2,484,353 7,453,060 3,726,530 1,863,265 5,589,796 2,794,898 1,397,449 4,192,348 2,096,174 1,048,087 3,144,262 1,572,131 4,716,394 2,358,197 7,074,592 3,537,296 1,768,648 884,324 442,162 221,081 663,244 331,622 165,811 497,434 248,717 746,152 373,076 186,538 93,269 279,808 139,904 69,952 34,976 17,488 8,744 4,372 2,186 1,093 3,280 1,640 820

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