1,284,960

2⁵ × 3 × 5 × 2677

Starting at 1,284,960, the Collatz iteration reaches 1 after 124 steps. The first transition is 642480; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 2677

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,049,136

Proper Divisor Sum 2,764,176

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1284937 ← → #1284967

Radix Representation

Decimal	1284960
Binary	100111001101101100000 (21 bits)
Octal	0o4715540
Hexadecimal	0x139B60

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2,677 5,354 8,031 10,708 13,385 16,062 21,416 26,770 32,124 40,155 42,832 53,540 64,248 80,310 85,664 107,080 128,496 160,620 214,160 256,992 321,240 428,320 642,480 1,284,960

Collatz Trajectory (124 steps to reach 1)

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

1,284,960 642,480 321,240 160,620 80,310 40,155 120,466 60,233 180,700 90,350 45,175 135,526 67,763 203,290 101,645 304,936 152,468 76,234 38,117 114,352 57,176 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156

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