1,167,384

2³ × 3 × 127 × 383

Starting at 1,167,384, the Collatz iteration reaches 1 after 160 steps. The first transition is 583692; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 127 × 383

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,949,120

Proper Divisor Sum 1,781,736

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1167359 ← → #1167391

Radix Representation

Decimal	1167384
Binary	100011101000000011000 (21 bits)
Octal	0o4350030
Hexadecimal	0x11D018

Divisor Catalog (32)

1 2 3 4 6 8 12 24 127 254 381 383 508 762 766 1,016 1,149 1,524 1,532 2,298 3,048 3,064 4,596 9,192 48,641 97,282 145,923 194,564 291,846 389,128 583,692 1,167,384

Collatz Trajectory (160 steps to reach 1)

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

1,167,384 583,692 291,846 145,923 437,770 218,885 656,656 328,328 164,164 82,082 41,041 123,124 61,562 30,781 92,344 46,172 23,086 11,543 34,630 17,315 51,946 25,973 77,920 38,960 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

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