7,736,500

2² × 5³ × 15473

Starting at 7,736,500, the Collatz iteration reaches 1 after 124 steps. The first transition is 3868250; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 15473

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,897,608

Proper Divisor Sum 9,161,108

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7736473 ← → #7736501

Radix Representation

Decimal	7736500
Binary	11101100000110010110100 (23 bits)
Octal	0o35406264
Hexadecimal	0x760CB4

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 15,473 30,946 61,892 77,365 154,730 309,460 386,825 773,650 1,547,300 1,934,125 3,868,250 7,736,500

Collatz Trajectory (124 steps to reach 1)

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

7,736,500 3,868,250 1,934,125 5,802,376 2,901,188 1,450,594 725,297 2,175,892 1,087,946 543,973 1,631,920 815,960 407,980 203,990 101,995 305,986 152,993 458,980 229,490 114,745 344,236 172,118 86,059 258,178 129,089 387,268 193,634 96,817 290,452 145,226 72,613 217,840 108,920 54,460 27,230 13,615 40,846 20,423 61,270 30,635 91,906 45,953 137,860 68,930 34,465 103,396 51,698 25,849 77,548 38,774 19,387 58,162 29,081 87,244 43,622 21,811 65,434 32,717 98,152 49,076

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