8,355,348

2² × 3² × 23 × 10091

Starting at 8,355,348, the Collatz iteration reaches 1 after 181 steps. The first transition is 4177674; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 10091

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 22,040,928

Proper Divisor Sum 13,685,580

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8355343 ← → #8355359

Radix Representation

Decimal	8355348
Binary	11111110111111000010100 (23 bits)
Octal	0o37677024
Hexadecimal	0x7F7E14

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 10,091 20,182 30,273 40,364 60,546 90,819 121,092 181,638 232,093 363,276 464,186 696,279 928,372 1,392,558 2,088,837 2,785,116 4,177,674 8,355,348

Collatz Trajectory (181 steps to reach 1)

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

8,355,348 4,177,674 2,088,837 6,266,512 3,133,256 1,566,628 783,314 391,657 1,174,972 587,486 293,743 881,230 440,615 1,321,846 660,923 1,982,770 991,385 2,974,156 1,487,078 743,539 2,230,618 1,115,309 3,345,928 1,672,964 836,482 418,241 1,254,724 627,362 313,681 941,044 470,522 235,261 705,784 352,892 176,446 88,223 264,670 132,335 397,006 198,503 595,510 297,755 893,266 446,633 1,339,900 669,950 334,975 1,004,926 502,463 1,507,390 753,695 2,261,086 1,130,543 3,391,630 1,695,815 5,087,446 2,543,723 7,631,170 3,815,585 11,446,756

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