1,823,080

2³ × 5 × 7 × 17 × 383

Starting at 1,823,080, the Collatz iteration reaches 1 after 65 steps. The first transition is 911540; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17 × 383

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 4,976,640

Proper Divisor Sum 3,153,560

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1823077 ← → #1823093

Radix Representation

Decimal	1823080
Binary	110111101000101101000 (21 bits)
Octal	0o6750550
Hexadecimal	0x1BD168

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 383 476 595 680 766 952 1,190 1,532 1,915 2,380 2,681 3,064 3,830 4,760 5,362 6,511 7,660 10,724 13,022 13,405 15,320 21,448 26,044 26,810 32,555 45,577 52,088 53,620 65,110 91,154 107,240 130,220 182,308 227,885 260,440

Collatz Trajectory (65 steps to reach 1)

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

1,823,080 911,540 455,770 227,885 683,656 341,828 170,914 85,457 256,372 128,186 64,093 192,280 96,140 48,070 24,035 72,106 36,053 108,160 54,080 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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