780,525

3² × 5² × 3469

Starting at 780,525, the Collatz iteration reaches 1 after 69 steps. The first transition is 2341576; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 3469

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,398,410

Proper Divisor Sum 617,885

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #780523 ← → #780553

Radix Representation

Decimal	780525
Binary	10111110100011101101 (20 bits)
Octal	0o2764355
Hexadecimal	0xBE8ED

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 3,469 10,407 17,345 31,221 52,035 86,725 156,105 260,175 780,525

Collatz Trajectory (69 steps to reach 1)

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

780,525 2,341,576 1,170,788 585,394 292,697 878,092 439,046 219,523 658,570 329,285 987,856 493,928 246,964 123,482 61,741 185,224 92,612 46,306 23,153 69,460 34,730 17,365 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26

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