1,697,262

2 × 3 × 7² × 23 × 251

1,697,262 has the prime decomposition 2 × 3 × 7^2 × 23 × 251. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 23 × 251

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,136,832

Proper Divisor Sum 2,439,570

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1697261 ← → #1697287

Radix Representation

Decimal	1697262
Binary	110011110010111101110 (21 bits)
Octal	0o6362756
Hexadecimal	0x19E5EE

Divisor Catalog (48)

1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 251 294 322 483 502 753 966 1,127 1,506 1,757 2,254 3,381 3,514 5,271 5,773 6,762 10,542 11,546 12,299 17,319 24,598 34,638 36,897 40,411 73,794 80,822 121,233 242,466 282,877 565,754 848,631 1,697,262

Collatz Trajectory (176 steps to reach 1)

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

1,697,262 848,631 2,545,894 1,272,947 3,818,842 1,909,421 5,728,264 2,864,132 1,432,066 716,033 2,148,100 1,074,050 537,025 1,611,076 805,538 402,769 1,208,308 604,154 302,077 906,232 453,116 226,558 113,279 339,838 169,919 509,758 254,879 764,638 382,319 1,146,958 573,479 1,720,438 860,219 2,580,658 1,290,329 3,870,988 1,935,494 967,747 2,903,242 1,451,621 4,354,864 2,177,432 1,088,716 544,358 272,179 816,538 408,269 1,224,808 612,404 306,202 153,101 459,304 229,652 114,826 57,413 172,240 86,120 43,060 21,530 10,765

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