7,906,990

2 × 5 × 7 × 13 × 8689

Starting at 7,906,990, the Collatz iteration reaches 1 after 124 steps. The first transition is 3953495; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 8689

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,519,040

Proper Divisor Sum 9,612,050

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7906981 ← → #7906993

Radix Representation

Decimal	7906990
Binary	11110001010011010101110 (23 bits)
Octal	0o36123256
Hexadecimal	0x78A6AE

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 8,689 17,378 43,445 60,823 86,890 112,957 121,646 225,914 304,115 564,785 608,230 790,699 1,129,570 1,581,398 3,953,495 7,906,990

Collatz Trajectory (124 steps to reach 1)

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

7,906,990 3,953,495 11,860,486 5,930,243 17,790,730 8,895,365 26,686,096 13,343,048 6,671,524 3,335,762 1,667,881 5,003,644 2,501,822 1,250,911 3,752,734 1,876,367 5,629,102 2,814,551 8,443,654 4,221,827 12,665,482 6,332,741 18,998,224 9,499,112 4,749,556 2,374,778 1,187,389 3,562,168 1,781,084 890,542 445,271 1,335,814 667,907 2,003,722 1,001,861 3,005,584 1,502,792 751,396 375,698 187,849 563,548 281,774 140,887 422,662 211,331 633,994 316,997 950,992 475,496 237,748 118,874 59,437 178,312 89,156 44,578 22,289 66,868 33,434 16,717 50,152

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