2,525,850

2 × 3³ × 5² × 1871

Starting at 2,525,850, the Collatz iteration reaches 1 after 156 steps. The first transition is 1262925; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^2 × 1871

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,963,840

Proper Divisor Sum 4,437,990

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2525807 ← → #2525851

Radix Representation

Decimal	2525850
Binary	1001101000101010011010 (22 bits)
Octal	0o11505232
Hexadecimal	0x268A9A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1,350 1,871 3,742 5,613 9,355 11,226 16,839 18,710 28,065 33,678 46,775 50,517 56,130 84,195 93,550 101,034 140,325 168,390 252,585 280,650 420,975 505,170 841,950 1,262,925 2,525,850

Collatz Trajectory (156 steps to reach 1)

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

2,525,850 1,262,925 3,788,776 1,894,388 947,194 473,597 1,420,792 710,396 355,198 177,599 532,798 266,399 799,198 399,599 1,198,798 599,399 1,798,198 899,099 2,697,298 1,348,649 4,045,948 2,022,974 1,011,487 3,034,462 1,517,231 4,551,694 2,275,847 6,827,542 3,413,771 10,241,314 5,120,657 15,361,972 7,680,986 3,840,493 11,521,480 5,760,740 2,880,370 1,440,185 4,320,556 2,160,278 1,080,139 3,240,418 1,620,209 4,860,628 2,430,314 1,215,157 3,645,472 1,822,736 911,368 455,684 227,842 113,921 341,764 170,882 85,441 256,324 128,162 64,081 192,244 96,122

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