27,171,651

3 × 13² × 53593

27,171,651 factors as 3 × 13^2 × 53593. Its 12 positive divisors give a proper-divisor sum of 12,059,157, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 53593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 39,230,808

Proper Divisor Sum 12,059,157

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #27171631 ← → #27171667

Radix Representation

Decimal	27171651
Binary	1100111101001101101000011 (25 bits)
Octal	0o147515503
Hexadecimal	0x19E9B43

Divisor Catalog (12)

1 3 13 39 169 507 53,593 160,779 696,709 2,090,127 9,057,217 27,171,651

Collatz Trajectory (87 steps to reach 1)

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

27,171,651 81,514,954 40,757,477 122,272,432 61,136,216 30,568,108 15,284,054 7,642,027 22,926,082 11,463,041 34,389,124 17,194,562 8,597,281 25,791,844 12,895,922 6,447,961 19,343,884 9,671,942 4,835,971 14,507,914 7,253,957 21,761,872 10,880,936 5,440,468 2,720,234 1,360,117 4,080,352 2,040,176 1,020,088 510,044 255,022 127,511 382,534 191,267 573,802 286,901 860,704 430,352 215,176 107,588 53,794 26,897 80,692 40,346 20,173 60,520 30,260 15,130 7,565 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133

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