17,567,379

3² × 97 × 20123

17,567,379 factors as 3^2 × 97 × 20123. Its 12 positive divisors give a proper-divisor sum of 8,070,597, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^2 × 97 × 20123

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 25,637,976

Proper Divisor Sum 8,070,597

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #17567369 ← → #17567383

Radix Representation

Decimal	17567379
Binary	1000011000000111010010011 (25 bits)
Octal	0o103007223
Hexadecimal	0x10C0E93

Divisor Catalog (12)

1 3 9 97 291 873 20,123 60,369 181,107 1,951,931 5,855,793 17,567,379

Collatz Trajectory (125 steps to reach 1)

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

17,567,379 52,702,138 26,351,069 79,053,208 39,526,604 19,763,302 9,881,651 29,644,954 14,822,477 44,467,432 22,233,716 11,116,858 5,558,429 16,675,288 8,337,644 4,168,822 2,084,411 6,253,234 3,126,617 9,379,852 4,689,926 2,344,963 7,034,890 3,517,445 10,552,336 5,276,168 2,638,084 1,319,042 659,521 1,978,564 989,282 494,641 1,483,924 741,962 370,981 1,112,944 556,472 278,236 139,118 69,559 208,678 104,339 313,018 156,509 469,528 234,764 117,382 58,691 176,074 88,037 264,112 132,056 66,028 33,014 16,507 49,522 24,761 74,284 37,142 18,571

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