949,949

7 × 11 × 13² × 73

Starting at 949,949, the Collatz iteration reaches 1 after 82 steps. The first transition is 2849848; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 13^2 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,300,032

Proper Divisor Sum 350,083

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #949939 ← → #949951

Radix Representation

Decimal	949949
Binary	11100111111010111101 (20 bits)
Octal	0o3477275
Hexadecimal	0xE7EBD

Divisor Catalog (24)

1 7 11 13 73 77 91 143 169 511 803 949 1,001 1,183 1,859 5,621 6,643 10,439 12,337 13,013 73,073 86,359 135,707 949,949

Collatz Trajectory (82 steps to reach 1)

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

949,949 2,849,848 1,424,924 712,462 356,231 1,068,694 534,347 1,603,042 801,521 2,404,564 1,202,282 601,141 1,803,424 901,712 450,856 225,428 112,714 56,357 169,072 84,536 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028

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