7,964,858

2 × 11 × 277 × 1307

Starting at 7,964,858, the Collatz iteration reaches 1 after 292 steps. The first transition is 3982429; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 277 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,090,464

Proper Divisor Sum 5,125,606

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7964833 ← → #7964863

Radix Representation

Decimal	7964858
Binary	11110011000100010111010 (23 bits)
Octal	0o36304272
Hexadecimal	0x7988BA

Divisor Catalog (16)

1 2 11 22 277 554 1,307 2,614 3,047 6,094 14,377 28,754 362,039 724,078 3,982,429 7,964,858

Collatz Trajectory (292 steps to reach 1)

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

7,964,858 3,982,429 11,947,288 5,973,644 2,986,822 1,493,411 4,480,234 2,240,117 6,720,352 3,360,176 1,680,088 840,044 420,022 210,011 630,034 315,017 945,052 472,526 236,263 708,790 354,395 1,063,186 531,593 1,594,780 797,390 398,695 1,196,086 598,043 1,794,130 897,065 2,691,196 1,345,598 672,799 2,018,398 1,009,199 3,027,598 1,513,799 4,541,398 2,270,699 6,812,098 3,406,049 10,218,148 5,109,074 2,554,537 7,663,612 3,831,806 1,915,903 5,747,710 2,873,855 8,621,566 4,310,783 12,932,350 6,466,175 19,398,526 9,699,263 29,097,790 14,548,895 43,646,686 21,823,343 65,470,030

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