1,742,842

2 × 29 × 151 × 199

1,742,842 has the prime decomposition 2 × 29 × 151 × 199. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 151 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,736,000

Proper Divisor Sum 993,158

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1742809 ← → #1742843

Radix Representation

Decimal	1742842
Binary	110101001011111111010 (21 bits)
Octal	0o6513772
Hexadecimal	0x1A97FA

Divisor Catalog (16)

1 2 29 58 151 199 302 398 4,379 5,771 8,758 11,542 30,049 60,098 871,421 1,742,842

Collatz Trajectory (158 steps to reach 1)

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

1,742,842 871,421 2,614,264 1,307,132 653,566 326,783 980,350 490,175 1,470,526 735,263 2,205,790 1,102,895 3,308,686 1,654,343 4,963,030 2,481,515 7,444,546 3,722,273 11,166,820 5,583,410 2,791,705 8,375,116 4,187,558 2,093,779 6,281,338 3,140,669 9,422,008 4,711,004 2,355,502 1,177,751 3,533,254 1,766,627 5,299,882 2,649,941 7,949,824 3,974,912 1,987,456 993,728 496,864 248,432 124,216 62,108 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329

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