8,771,295

3 × 5 × 13 × 31 × 1451

Starting at 8,771,295, the Collatz iteration reaches 1 after 212 steps. The first transition is 26313886; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 31 × 1451

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,611,904

Proper Divisor Sum 6,840,609

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8771267 ← → #8771327

Radix Representation

Decimal	8771295
Binary	100001011101011011011111 (24 bits)
Octal	0o41353337
Hexadecimal	0x85D6DF

Divisor Catalog (32)

1 3 5 13 15 31 39 65 93 155 195 403 465 1,209 1,451 2,015 4,353 6,045 7,255 18,863 21,765 44,981 56,589 94,315 134,943 224,905 282,945 584,753 674,715 1,754,259 2,923,765 8,771,295

Collatz Trajectory (212 steps to reach 1)

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

8,771,295 26,313,886 13,156,943 39,470,830 19,735,415 59,206,246 29,603,123 88,809,370 44,404,685 133,214,056 66,607,028 33,303,514 16,651,757 49,955,272 24,977,636 12,488,818 6,244,409 18,733,228 9,366,614 4,683,307 14,049,922 7,024,961 21,074,884 10,537,442 5,268,721 15,806,164 7,903,082 3,951,541 11,854,624 5,927,312 2,963,656 1,481,828 740,914 370,457 1,111,372 555,686 277,843 833,530 416,765 1,250,296 625,148 312,574 156,287 468,862 234,431 703,294 351,647 1,054,942 527,471 1,582,414 791,207 2,373,622 1,186,811 3,560,434 1,780,217 5,340,652 2,670,326 1,335,163 4,005,490 2,002,745

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