7,714,503

3² × 857167

Starting at 7,714,503, the Collatz iteration reaches 1 after 186 steps. The first transition is 23143510; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 857167

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 11,143,184

Proper Divisor Sum 3,428,681

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7714489 ← → #7714517

Radix Representation

Decimal	7714503
Binary	11101011011011011000111 (23 bits)
Octal	0o35333307
Hexadecimal	0x75B6C7

Divisor Catalog (6)

1 3 9 857,167 2,571,501 7,714,503

Collatz Trajectory (186 steps to reach 1)

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

7,714,503 23,143,510 11,571,755 34,715,266 17,357,633 52,072,900 26,036,450 13,018,225 39,054,676 19,527,338 9,763,669 29,291,008 14,645,504 7,322,752 3,661,376 1,830,688 915,344 457,672 228,836 114,418 57,209 171,628 85,814 42,907 128,722 64,361 193,084 96,542 48,271 144,814 72,407 217,222 108,611 325,834 162,917 488,752 244,376 122,188 61,094 30,547 91,642 45,821 137,464 68,732 34,366 17,183 51,550 25,775 77,326 38,663 115,990 57,995 173,986 86,993 260,980 130,490 65,245 195,736 97,868 48,934

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