8,329,803

3 × 127 × 21863

Starting at 8,329,803, the Collatz iteration reaches 1 after 137 steps. The first transition is 24989410; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 127 × 21863

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,194,368

Proper Divisor Sum 2,864,565

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8329759 ← → #8329819

Radix Representation

Decimal	8329803
Binary	11111110001101001001011 (23 bits)
Octal	0o37615113
Hexadecimal	0x7F1A4B

Divisor Catalog (8)

1 3 127 381 21,863 65,589 2,776,601 8,329,803

Collatz Trajectory (137 steps to reach 1)

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

8,329,803 24,989,410 12,494,705 37,484,116 18,742,058 9,371,029 28,113,088 14,056,544 7,028,272 3,514,136 1,757,068 878,534 439,267 1,317,802 658,901 1,976,704 988,352 494,176 247,088 123,544 61,772 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807

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