6,260,000

2⁵ × 5⁴ × 313

Starting at 6,260,000, the Collatz iteration reaches 1 after 196 steps. The first transition is 3130000; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^4 × 313

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 15,449,742

Proper Divisor Sum 9,189,742

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #6259973 ← → #6260017

Radix Representation

Decimal	6260000
Binary	10111111000010100100000 (23 bits)
Octal	0o27702440
Hexadecimal	0x5F8520

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 313 400 500 625 626 800 1,000 1,250 1,252 1,565 2,000 2,500 2,504 3,130 4,000 5,000 5,008 6,260 7,825 10,000 10,016 12,520 15,650 20,000 25,040 31,300 39,125 50,080 62,600 78,250 125,200 156,500 195,625 250,400 313,000 391,250 626,000 782,500 1,252,000 1,565,000 3,130,000 6,260,000

Collatz Trajectory (196 steps to reach 1)

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

6,260,000 3,130,000 1,565,000 782,500 391,250 195,625 586,876 293,438 146,719 440,158 220,079 660,238 330,119 990,358 495,179 1,485,538 742,769 2,228,308 1,114,154 557,077 1,671,232 835,616 417,808 208,904 104,452 52,226 26,113 78,340 39,170 19,585 58,756 29,378 14,689 44,068 22,034 11,017 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716

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