8,404,722

2 × 3⁴ × 29 × 1789

Starting at 8,404,722, the Collatz iteration reaches 1 after 93 steps. The first transition is 4202361; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 29 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 19,493,100

Proper Divisor Sum 11,088,378

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8404717 ← → #8404741

Radix Representation

Decimal	8404722
Binary	100000000011111011110010 (24 bits)
Octal	0o40037362
Hexadecimal	0x803EF2

Divisor Catalog (40)

Collatz Trajectory (93 steps to reach 1)

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

8,404,722 4,202,361 12,607,084 6,303,542 3,151,771 9,455,314 4,727,657 14,182,972 7,091,486 3,545,743 10,637,230 5,318,615 15,955,846 7,977,923 23,933,770 11,966,885 35,900,656 17,950,328 8,975,164 4,487,582 2,243,791 6,731,374 3,365,687 10,097,062 5,048,531 15,145,594 7,572,797 22,718,392 11,359,196 5,679,598 2,839,799 8,519,398 4,259,699 12,779,098 6,389,549 19,168,648 9,584,324 4,792,162 2,396,081 7,188,244 3,594,122 1,797,061 5,391,184 2,695,592 1,347,796 673,898 336,949 1,010,848 505,424 252,712 126,356 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885

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