7,758,379

587 × 13217

Starting at 7,758,379, the Collatz iteration reaches 1 after 217 steps. The first transition is 23275138; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 587 × 13217

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,772,184

Proper Divisor Sum 13,805

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7758371 ← → #7758433

Radix Representation

Decimal	7758379
Binary	11101100110001000101011 (23 bits)
Octal	0o35461053
Hexadecimal	0x76622B

Divisor Catalog (4)

1 587 13,217 7,758,379

Collatz Trajectory (217 steps to reach 1)

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

7,758,379 23,275,138 11,637,569 34,912,708 17,456,354 8,728,177 26,184,532 13,092,266 6,546,133 19,638,400 9,819,200 4,909,600 2,454,800 1,227,400 613,700 306,850 153,425 460,276 230,138 115,069 345,208 172,604 86,302 43,151 129,454 64,727 194,182 97,091 291,274 145,637 436,912 218,456 109,228 54,614 27,307 81,922 40,961 122,884 61,442 30,721 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203

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