534,400

2⁷ × 5² × 167

Starting at 534,400, the Collatz iteration reaches 1 after 120 steps. The first transition is 267200; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 5^2 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,328,040

Proper Divisor Sum 793,640

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #534371 ← → #534403

Radix Representation

Decimal	534400
Binary	10000010011110000000 (20 bits)
Octal	0o2023600
Hexadecimal	0x82780

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 167 200 320 334 400 640 668 800 835 1,336 1,600 1,670 2,672 3,200 3,340 4,175 5,344 6,680 8,350 10,688 13,360 16,700 21,376 26,720 33,400 53,440 66,800 106,880 133,600 267,200 534,400

Collatz Trajectory (120 steps to reach 1)

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

534,400 267,200 133,600 66,800 33,400 16,700 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397

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