27,697,072

2⁴ × 13² × 10243

27,697,072 factors as 2^4 × 13^2 × 10243. Its 30 positive divisors give a proper-divisor sum of 30,417,140, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 13^2 × 10243

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 58,114,212

Proper Divisor Sum 30,417,140

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #27697069 ← → #27697081

Radix Representation

Decimal	27697072
Binary	1101001101001111110110000 (25 bits)
Octal	0o151517660
Hexadecimal	0x1A69FB0

Divisor Catalog (30)

Collatz Trajectory (180 steps to reach 1)

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

27,697,072 13,848,536 6,924,268 3,462,134 1,731,067 5,193,202 2,596,601 7,789,804 3,894,902 1,947,451 5,842,354 2,921,177 8,763,532 4,381,766 2,190,883 6,572,650 3,286,325 9,858,976 4,929,488 2,464,744 1,232,372 616,186 308,093 924,280 462,140 231,070 115,535 346,606 173,303 519,910 259,955 779,866 389,933 1,169,800 584,900 292,450 146,225 438,676 219,338 109,669 329,008 164,504 82,252 41,126 20,563 61,690 30,845 92,536 46,268 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281

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