1,684,760

2³ × 5 × 7 × 11 × 547

Starting at 1,684,760, the Collatz iteration reaches 1 after 83 steps. The first transition is 842380; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 11 × 547

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 4,734,720

Proper Divisor Sum 3,049,960

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1684741 ← → #1684763

Radix Representation

Decimal	1684760
Binary	110011011010100011000 (21 bits)
Octal	0o6332430
Hexadecimal	0x19B518

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 547 616 770 1,094 1,540 2,188 2,735 3,080 3,829 4,376 5,470 6,017 7,658 10,940 12,034 15,316 19,145 21,880 24,068 30,085 30,632 38,290 42,119 48,136 60,170 76,580 84,238 120,340 153,160 168,476 210,595 240,680

Collatz Trajectory (83 steps to reach 1)

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

1,684,760 842,380 421,190 210,595 631,786 315,893 947,680 473,840 236,920 118,460 59,230 29,615 88,846 44,423 133,270 66,635 199,906 99,953 299,860 149,930 74,965 224,896 112,448 56,224 28,112 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304

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