27,317,206

2 × 7³ × 39821

27,317,206 factors as 2 × 7^3 × 39821. Its 16 positive divisors give a proper-divisor sum of 20,469,194, so this integer is deficient. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 39821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 47,786,400

Proper Divisor Sum 20,469,194

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #27317161 ← → #27317221

Radix Representation

Decimal	27317206
Binary	1101000001101001111010110 (25 bits)
Octal	0o150151726
Hexadecimal	0x1A0D3D6

Divisor Catalog (16)

1 2 7 14 49 98 343 686 39,821 79,642 278,747 557,494 1,951,229 3,902,458 13,658,603 27,317,206

Collatz Trajectory (242 steps to reach 1)

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

27,317,206 13,658,603 40,975,810 20,487,905 61,463,716 30,731,858 15,365,929 46,097,788 23,048,894 11,524,447 34,573,342 17,286,671 51,860,014 25,930,007 77,790,022 38,895,011 116,685,034 58,342,517 175,027,552 87,513,776 43,756,888 21,878,444 10,939,222 5,469,611 16,408,834 8,204,417 24,613,252 12,306,626 6,153,313 18,459,940 9,229,970 4,614,985 13,844,956 6,922,478 3,461,239 10,383,718 5,191,859 15,575,578 7,787,789 23,363,368 11,681,684 5,840,842 2,920,421 8,761,264 4,380,632 2,190,316 1,095,158 547,579 1,642,738 821,369 2,464,108 1,232,054 616,027 1,848,082 924,041 2,772,124 1,386,062 693,031 2,079,094 1,039,547

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