9,961,268

2² × 29 × 79 × 1087

Starting at 9,961,268, the Collatz iteration reaches 1 after 114 steps. The first transition is 4980634; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 79 × 1087

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,278,400

Proper Divisor Sum 8,317,132

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9961267 ← → #9961279

Radix Representation

Decimal	9961268
Binary	100101111111111100110100 (24 bits)
Octal	0o45777464
Hexadecimal	0x97FF34

Divisor Catalog (24)

1 2 4 29 58 79 116 158 316 1,087 2,174 2,291 4,348 4,582 9,164 31,523 63,046 85,873 126,092 171,746 343,492 2,490,317 4,980,634 9,961,268

Collatz Trajectory (114 steps to reach 1)

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

9,961,268 4,980,634 2,490,317 7,470,952 3,735,476 1,867,738 933,869 2,801,608 1,400,804 700,402 350,201 1,050,604 525,302 262,651 787,954 393,977 1,181,932 590,966 295,483 886,450 443,225 1,329,676 664,838 332,419 997,258 498,629 1,495,888 747,944 373,972 186,986 93,493 280,480 140,240 70,120 35,060 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757

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