9,727,077

3 × 17 × 89 × 2143

9,727,077 factors as 3 × 17 × 89 × 2143. Its 16 positive divisors give a proper-divisor sum of 4,166,043, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3 × 17 × 89 × 2143

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,893,120

Proper Divisor Sum 4,166,043

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9727027 ← → #9727079

Radix Representation

Decimal	9727077
Binary	100101000110110001100101 (24 bits)
Octal	0o45066145
Hexadecimal	0x946C65

Divisor Catalog (16)

1 3 17 51 89 267 1,513 2,143 4,539 6,429 36,431 109,293 190,727 572,181 3,242,359 9,727,077

Collatz Trajectory (225 steps to reach 1)

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

9,727,077 29,181,232 14,590,616 7,295,308 3,647,654 1,823,827 5,471,482 2,735,741 8,207,224 4,103,612 2,051,806 1,025,903 3,077,710 1,538,855 4,616,566 2,308,283 6,924,850 3,462,425 10,387,276 5,193,638 2,596,819 7,790,458 3,895,229 11,685,688 5,842,844 2,921,422 1,460,711 4,382,134 2,191,067 6,573,202 3,286,601 9,859,804 4,929,902 2,464,951 7,394,854 3,697,427 11,092,282 5,546,141 16,638,424 8,319,212 4,159,606 2,079,803 6,239,410 3,119,705 9,359,116 4,679,558 2,339,779 7,019,338 3,509,669 10,529,008 5,264,504 2,632,252 1,316,126 658,063 1,974,190 987,095 2,961,286 1,480,643 4,441,930 2,220,965

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