7,652,498

2 × 7 × 271 × 2017

Starting at 7,652,498, the Collatz iteration reaches 1 after 248 steps. The first transition is 3826249; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 271 × 2017

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,173,504

Proper Divisor Sum 5,521,006

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7652483 ← → #7652501

Radix Representation

Decimal	7652498
Binary	11101001100010010010010 (23 bits)
Octal	0o35142222
Hexadecimal	0x74C492

Divisor Catalog (16)

1 2 7 14 271 542 1,897 2,017 3,794 4,034 14,119 28,238 546,607 1,093,214 3,826,249 7,652,498

Collatz Trajectory (248 steps to reach 1)

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

7,652,498 3,826,249 11,478,748 5,739,374 2,869,687 8,609,062 4,304,531 12,913,594 6,456,797 19,370,392 9,685,196 4,842,598 2,421,299 7,263,898 3,631,949 10,895,848 5,447,924 2,723,962 1,361,981 4,085,944 2,042,972 1,021,486 510,743 1,532,230 766,115 2,298,346 1,149,173 3,447,520 1,723,760 861,880 430,940 215,470 107,735 323,206 161,603 484,810 242,405 727,216 363,608 181,804 90,902 45,451 136,354 68,177 204,532 102,266 51,133 153,400 76,700 38,350 19,175 57,526 28,763 86,290 43,145 129,436 64,718 32,359 97,078 48,539

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