8,451,765

3² × 5 × 7² × 3833

Starting at 8,451,765, the Collatz iteration reaches 1 after 106 steps. The first transition is 25355296; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 3833

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 17,045,964

Proper Divisor Sum 8,594,199

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8451763 ← → #8451767

Radix Representation

Decimal	8451765
Binary	100000001111011010110101 (24 bits)
Octal	0o40173265
Hexadecimal	0x80F6B5

Divisor Catalog (36)

1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2,205 3,833 11,499 19,165 26,831 34,497 57,495 80,493 134,155 172,485 187,817 241,479 402,465 563,451 939,085 1,207,395 1,690,353 2,817,255 8,451,765

Collatz Trajectory (106 steps to reach 1)

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

8,451,765 25,355,296 12,677,648 6,338,824 3,169,412 1,584,706 792,353 2,377,060 1,188,530 594,265 1,782,796 891,398 445,699 1,337,098 668,549 2,005,648 1,002,824 501,412 250,706 125,353 376,060 188,030 94,015 282,046 141,023 423,070 211,535 634,606 317,303 951,910 475,955 1,427,866 713,933 2,141,800 1,070,900 535,450 267,725 803,176 401,588 200,794 100,397 301,192 150,596 75,298 37,649 112,948 56,474 28,237 84,712 42,356 21,178 10,589 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936

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