7,758,687

3 × 509 × 5081

Starting at 7,758,687, the Collatz iteration reaches 1 after 217 steps. The first transition is 23276062; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 509 × 5081

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,367,280

Proper Divisor Sum 2,608,593

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7758683 ← → #7758697

Radix Representation

Decimal	7758687
Binary	11101100110001101011111 (23 bits)
Octal	0o35461537
Hexadecimal	0x76635F

Divisor Catalog (8)

1 3 509 1,527 5,081 15,243 2,586,229 7,758,687

Collatz Trajectory (217 steps to reach 1)

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

7,758,687 23,276,062 11,638,031 34,914,094 17,457,047 52,371,142 26,185,571 78,556,714 39,278,357 117,835,072 58,917,536 29,458,768 14,729,384 7,364,692 3,682,346 1,841,173 5,523,520 2,761,760 1,380,880 690,440 345,220 172,610 86,305 258,916 129,458 64,729 194,188 97,094 48,547 145,642 72,821 218,464 109,232 54,616 27,308 13,654 6,827 20,482 10,241 30,724 15,362 7,681 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207

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