8,268,708

2² × 3 × 7 × 173 × 569

Starting at 8,268,708, the Collatz iteration reaches 1 after 212 steps. The first transition is 4134354; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 173 × 569

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,216,320

Proper Divisor Sum 13,947,612

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8268697 ← → #8268713

Radix Representation

Decimal	8268708
Binary	11111100010101110100100 (23 bits)
Octal	0o37425644
Hexadecimal	0x7E2BA4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 569 692 1,038 1,138 1,211 1,707 2,076 2,276 2,422 3,414 3,633 3,983 4,844 6,828 7,266 7,966 11,949 14,532 15,932 23,898 47,796 98,437 196,874 295,311 393,748 590,622 689,059 1,181,244 1,378,118 2,067,177 2,756,236 4,134,354 8,268,708

Collatz Trajectory (212 steps to reach 1)

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

8,268,708 4,134,354 2,067,177 6,201,532 3,100,766 1,550,383 4,651,150 2,325,575 6,976,726 3,488,363 10,465,090 5,232,545 15,697,636 7,848,818 3,924,409 11,773,228 5,886,614 2,943,307 8,829,922 4,414,961 13,244,884 6,622,442 3,311,221 9,933,664 4,966,832 2,483,416 1,241,708 620,854 310,427 931,282 465,641 1,396,924 698,462 349,231 1,047,694 523,847 1,571,542 785,771 2,357,314 1,178,657 3,535,972 1,767,986 883,993 2,651,980 1,325,990 662,995 1,988,986 994,493 2,983,480 1,491,740 745,870 372,935 1,118,806 559,403 1,678,210 839,105 2,517,316 1,258,658 629,329 1,887,988

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