498,631

7 × 71233

Starting at 498,631, the Collatz iteration reaches 1 after 288 steps. The first transition is 1495894; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 71233

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 569,872

Proper Divisor Sum 71,241

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #498613 ← → #498643

Radix Representation

Decimal	498631
Binary	1111001101111000111 (19 bits)
Octal	0o1715707
Hexadecimal	0x79BC7

Divisor Catalog (4)

1 7 71,233 498,631

Collatz Trajectory (288 steps to reach 1)

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

498,631 1,495,894 747,947 2,243,842 1,121,921 3,365,764 1,682,882 841,441 2,524,324 1,262,162 631,081 1,893,244 946,622 473,311 1,419,934 709,967 2,129,902 1,064,951 3,194,854 1,597,427 4,792,282 2,396,141 7,188,424 3,594,212 1,797,106 898,553 2,695,660 1,347,830 673,915 2,021,746 1,010,873 3,032,620 1,516,310 758,155 2,274,466 1,137,233 3,411,700 1,705,850 852,925 2,558,776 1,279,388 639,694 319,847 959,542 479,771 1,439,314 719,657 2,158,972 1,079,486 539,743 1,619,230 809,615 2,428,846 1,214,423 3,643,270 1,821,635 5,464,906 2,732,453 8,197,360 4,098,680

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