6,275,200

2⁷ × 5² × 37 × 53

Starting at 6,275,200, the Collatz iteration reaches 1 after 165 steps. The first transition is 3137600; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 5^2 × 37 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 16,221,060

Proper Divisor Sum 9,945,860

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #6275189 ← → #6275209

Radix Representation

Decimal	6275200
Binary	10111111100000010000000 (23 bits)
Octal	0o27740200
Hexadecimal	0x5FC080

Divisor Catalog (60 of 96)

1 2 4 5 8 10 16 20 25 32 37 40 50 53 64 74 80 100 106 128 148 160 185 200 212 265 296 320 370 400 424 530 592 640 740 800 848 925 1,060 1,184 1,325 1,480 1,600 1,696 1,850 1,961 2,120 2,368 2,650 2,960 3,200 3,392 3,700 3,922 4,240 4,736 5,300 5,920 6,784 7,400

Collatz Trajectory (165 steps to reach 1)

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

6,275,200 3,137,600 1,568,800 784,400 392,200 196,100 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188

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