2,237,600

2⁵ × 5² × 2797

Starting at 2,237,600, the Collatz iteration reaches 1 after 60 steps. The first transition is 1118800; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 2797

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 5,464,494

Proper Divisor Sum 3,226,894

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2237581 ← → #2237617

Radix Representation

Decimal	2237600
Binary	1000100010010010100000 (22 bits)
Octal	0o10422240
Hexadecimal	0x2224A0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2,797 5,594 11,188 13,985 22,376 27,970 44,752 55,940 69,925 89,504 111,880 139,850 223,760 279,700 447,520 559,400 1,118,800 2,237,600

Collatz Trajectory (60 steps to reach 1)

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

2,237,600 1,118,800 559,400 279,700 139,850 69,925 209,776 104,888 52,444 26,222 13,111 39,334 19,667 59,002 29,501 88,504 44,252 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2

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