1,692,120

2³ × 3 × 5 × 59 × 239

Starting at 1,692,120, the Collatz iteration reaches 1 after 83 steps. The first transition is 846060; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 59 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 5,184,000

Proper Divisor Sum 3,491,880

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1692107 ← → #1692137

Radix Representation

Decimal	1692120
Binary	110011101000111011000 (21 bits)
Octal	0o6350730
Hexadecimal	0x19D1D8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 239 295 354 472 478 590 708 717 885 956 1,180 1,195 1,416 1,434 1,770 1,912 2,360 2,390 2,868 3,540 3,585 4,780 5,736 7,080 7,170 9,560 14,101 14,340 28,202 28,680 42,303 56,404 70,505 84,606 112,808 141,010 169,212 211,515 282,020 338,424

Collatz Trajectory (83 steps to reach 1)

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

1,692,120 846,060 423,030 211,515 634,546 317,273 951,820 475,910 237,955 713,866 356,933 1,070,800 535,400 267,700 133,850 66,925 200,776 100,388 50,194 25,097 75,292 37,646 18,823 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304

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