770,010

2 × 3 × 5 × 25667

For 770,010, the 16 positive divisors have a total of 1,848,096. Removing 770,010 leaves 1,078,086, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 25667

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,848,096

Proper Divisor Sum 1,078,086

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #769999 ← → #770027

Radix Representation

Decimal	770010
Binary	10111011111111011010 (20 bits)
Octal	0o2737732
Hexadecimal	0xBBFDA

Divisor Catalog (16)

1 2 3 5 6 10 15 30 25,667 51,334 77,001 128,335 154,002 256,670 385,005 770,010

Collatz Trajectory (162 steps to reach 1)

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

770,010 385,005 1,155,016 577,508 288,754 144,377 433,132 216,566 108,283 324,850 162,425 487,276 243,638 121,819 365,458 182,729 548,188 274,094 137,047 411,142 205,571 616,714 308,357 925,072 462,536 231,268 115,634 57,817 173,452 86,726 43,363 130,090 65,045 195,136 97,568 48,784 24,392 12,196 6,098 3,049 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321

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