λ
Sequence Observatory

1,602,468

22 × 32 × 7 × 6359
Abundant Even Composite

Starting at 1,602,468, the Collatz iteration reaches 1 after 119 steps. The first transition is 801234; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 6359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,630,080
Proper Divisor Sum 3,027,612
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1602463 ← → #1602473

Radix Representation

Decimal 1602468
Binary 110000111001110100100 (21 bits)
Octal 0o6071644
Hexadecimal 0x1873A4

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 6,359 12,718 19,077 25,436 38,154 44,513 57,231 76,308 89,026 114,462 133,539 178,052 228,924 267,078 400,617 534,156 801,234 1,602,468

Collatz Trajectory (119 steps to reach 1)

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

1,602,468 801,234 400,617 1,201,852 600,926 300,463 901,390 450,695 1,352,086 676,043 2,028,130 1,014,065 3,042,196 1,521,098 760,549 2,281,648 1,140,824 570,412 285,206 142,603 427,810 213,905 641,716 320,858 160,429 481,288 240,644 120,322 60,161 180,484 90,242 45,121 135,364 67,682 33,841 101,524 50,762 25,381 76,144 38,072 19,036 9,518 4,759 14,278 7,139 21,418 10,709 32,128 16,064 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283

More profiles

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