12,852,017

17 × 29 × 131 × 199

12,852,017 factors as 17 × 29 × 131 × 199. Its 16 positive divisors give a proper-divisor sum of 1,403,983, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 17 × 29 × 131 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,256,000

Proper Divisor Sum 1,403,983

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #12852001 ← → #12852041

Radix Representation

Decimal	12852017
Binary	110001000001101100110001 (24 bits)
Octal	0o61015461
Hexadecimal	0xC41B31

Divisor Catalog (16)

1 17 29 131 199 493 2,227 3,383 3,799 5,771 26,069 64,583 98,107 443,173 756,001 12,852,017

Collatz Trajectory (148 steps to reach 1)

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

12,852,017 38,556,052 19,278,026 9,639,013 28,917,040 14,458,520 7,229,260 3,614,630 1,807,315 5,421,946 2,710,973 8,132,920 4,066,460 2,033,230 1,016,615 3,049,846 1,524,923 4,574,770 2,287,385 6,862,156 3,431,078 1,715,539 5,146,618 2,573,309 7,719,928 3,859,964 1,929,982 964,991 2,894,974 1,447,487 4,342,462 2,171,231 6,513,694 3,256,847 9,770,542 4,885,271 14,655,814 7,327,907 21,983,722 10,991,861 32,975,584 16,487,792 8,243,896 4,121,948 2,060,974 1,030,487 3,091,462 1,545,731 4,637,194 2,318,597 6,955,792 3,477,896 1,738,948 869,474 434,737 1,304,212 652,106 326,053 978,160 489,080

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