7,985,065

5 × 11 × 47 × 3089

Starting at 7,985,065, the Collatz iteration reaches 1 after 248 steps. The first transition is 23955196; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 47 × 3089

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,679,040

Proper Divisor Sum 2,693,975

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7985041 ← → #7985069

Radix Representation

Decimal	7985065
Binary	11110011101011110101001 (23 bits)
Octal	0o36353651
Hexadecimal	0x79D7A9

Divisor Catalog (16)

1 5 11 47 55 235 517 2,585 3,089 15,445 33,979 145,183 169,895 725,915 1,597,013 7,985,065

Collatz Trajectory (248 steps to reach 1)

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

7,985,065 23,955,196 11,977,598 5,988,799 17,966,398 8,983,199 26,949,598 13,474,799 40,424,398 20,212,199 60,636,598 30,318,299 90,954,898 45,477,449 136,432,348 68,216,174 34,108,087 102,324,262 51,162,131 153,486,394 76,743,197 230,229,592 115,114,796 57,557,398 28,778,699 86,336,098 43,168,049 129,504,148 64,752,074 32,376,037 97,128,112 48,564,056 24,282,028 12,141,014 6,070,507 18,211,522 9,105,761 27,317,284 13,658,642 6,829,321 20,487,964 10,243,982 5,121,991 15,365,974 7,682,987 23,048,962 11,524,481 34,573,444 17,286,722 8,643,361 25,930,084 12,965,042 6,482,521 19,447,564 9,723,782 4,861,891 14,585,674 7,292,837 21,878,512 10,939,256

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