5,462,400

2⁷ × 3 × 5² × 569

Starting at 5,462,400, the Collatz iteration reaches 1 after 64 steps. The first transition is 2731200; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 5^2 × 569

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 18,023,400

Proper Divisor Sum 12,561,000

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5462377 ← → #5462437

Radix Representation

Decimal	5462400
Binary	10100110101100110000000 (23 bits)
Octal	0o24654600
Hexadecimal	0x535980

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 569 600 640 800 960 1,138 1,200 1,600 1,707 1,920 2,276 2,400 2,845 3,200 3,414 4,552 4,800 5,690 6,828 8,535 9,104 9,600 11,380

Collatz Trajectory (64 steps to reach 1)

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

5,462,400 2,731,200 1,365,600 682,800 341,400 170,700 85,350 42,675 128,026 64,013 192,040 96,020 48,010 24,005 72,016 36,008 18,004 9,002 4,501 13,504 6,752 3,376 1,688 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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