17,518,382

2 × 7³ × 25537

17,518,382 factors as 2 × 7^3 × 25537. Its 16 positive divisors give a proper-divisor sum of 13,127,218, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 25537

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 30,645,600

Proper Divisor Sum 13,127,218

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #17518373 ← → #17518409

Radix Representation

Decimal	17518382
Binary	1000010110100111100101110 (25 bits)
Octal	0o102647456
Hexadecimal	0x10B4F2E

Divisor Catalog (16)

1 2 7 14 49 98 343 686 25,537 51,074 178,759 357,518 1,251,313 2,502,626 8,759,191 17,518,382

Collatz Trajectory (89 steps to reach 1)

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

17,518,382 8,759,191 26,277,574 13,138,787 39,416,362 19,708,181 59,124,544 29,562,272 14,781,136 7,390,568 3,695,284 1,847,642 923,821 2,771,464 1,385,732 692,866 346,433 1,039,300 519,650 259,825 779,476 389,738 194,869 584,608 292,304 146,152 73,076 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86

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