626,890

2 × 5 × 11 × 41 × 139

Starting at 626,890, the Collatz iteration reaches 1 after 154 steps. The first transition is 313445; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 41 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,270,080

Proper Divisor Sum 643,190

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #626887 ← → #626917

Radix Representation

Decimal	626890
Binary	10011001000011001010 (20 bits)
Octal	0o2310312
Hexadecimal	0x990CA

Divisor Catalog (32)

1 2 5 10 11 22 41 55 82 110 139 205 278 410 451 695 902 1,390 1,529 2,255 3,058 4,510 5,699 7,645 11,398 15,290 28,495 56,990 62,689 125,378 313,445 626,890

Collatz Trajectory (154 steps to reach 1)

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

626,890 313,445 940,336 470,168 235,084 117,542 58,771 176,314 88,157 264,472 132,236 66,118 33,059 99,178 49,589 148,768 74,384 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979

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