9,831,117

3 × 17 × 192767

Starting at 9,831,117, the Collatz iteration reaches 1 after 88 steps. The first transition is 29493352; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 192767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,879,296

Proper Divisor Sum 4,048,179

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9831109 ← → #9831119

Radix Representation

Decimal	9831117
Binary	100101100000001011001101 (24 bits)
Octal	0o45401315
Hexadecimal	0x9602CD

Divisor Catalog (8)

1 3 17 51 192,767 578,301 3,277,039 9,831,117

Collatz Trajectory (88 steps to reach 1)

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

9,831,117 29,493,352 14,746,676 7,373,338 3,686,669 11,060,008 5,530,004 2,765,002 1,382,501 4,147,504 2,073,752 1,036,876 518,438 259,219 777,658 388,829 1,166,488 583,244 291,622 145,811 437,434 218,717 656,152 328,076 164,038 82,019 246,058 123,029 369,088 184,544 92,272 46,136 23,068 11,534 5,767 17,302 8,651 25,954 12,977 38,932 19,466 9,733 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289

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