25,666,379

17² × 88811

25,666,379 factors as 17^2 × 88811. Its 6 positive divisors give a proper-divisor sum of 1,598,905, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 17^2 × 88811

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 27,265,284

Proper Divisor Sum 1,598,905

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #25666373 ← → #25666387

Radix Representation

Decimal	25666379
Binary	1100001111010001101001011 (25 bits)
Octal	0o141721513
Hexadecimal	0x187A34B

Divisor Catalog (6)

1 17 289 88,811 1,509,787 25,666,379

Collatz Trajectory (149 steps to reach 1)

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

25,666,379 76,999,138 38,499,569 115,498,708 57,749,354 28,874,677 86,624,032 43,312,016 21,656,008 10,828,004 5,414,002 2,707,001 8,121,004 4,060,502 2,030,251 6,090,754 3,045,377 9,136,132 4,568,066 2,284,033 6,852,100 3,426,050 1,713,025 5,139,076 2,569,538 1,284,769 3,854,308 1,927,154 963,577 2,890,732 1,445,366 722,683 2,168,050 1,084,025 3,252,076 1,626,038 813,019 2,439,058 1,219,529 3,658,588 1,829,294 914,647 2,743,942 1,371,971 4,115,914 2,057,957 6,173,872 3,086,936 1,543,468 771,734 385,867 1,157,602 578,801 1,736,404 868,202 434,101 1,302,304 651,152 325,576 162,788

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