8,727,462

2 × 3² × 71 × 6829

Starting at 8,727,462, the Collatz iteration reaches 1 after 287 steps. The first transition is 4363731; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 71 × 6829

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,178,640

Proper Divisor Sum 10,451,178

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8727451 ← → #8727493

Radix Representation

Decimal	8727462
Binary	100001010010101110100110 (24 bits)
Octal	0o41225646
Hexadecimal	0x852BA6

Divisor Catalog (24)

1 2 3 6 9 18 71 142 213 426 639 1,278 6,829 13,658 20,487 40,974 61,461 122,922 484,859 969,718 1,454,577 2,909,154 4,363,731 8,727,462

Collatz Trajectory (287 steps to reach 1)

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

8,727,462 4,363,731 13,091,194 6,545,597 19,636,792 9,818,396 4,909,198 2,454,599 7,363,798 3,681,899 11,045,698 5,522,849 16,568,548 8,284,274 4,142,137 12,426,412 6,213,206 3,106,603 9,319,810 4,659,905 13,979,716 6,989,858 3,494,929 10,484,788 5,242,394 2,621,197 7,863,592 3,931,796 1,965,898 982,949 2,948,848 1,474,424 737,212 368,606 184,303 552,910 276,455 829,366 414,683 1,244,050 622,025 1,866,076 933,038 466,519 1,399,558 699,779 2,099,338 1,049,669 3,149,008 1,574,504 787,252 393,626 196,813 590,440 295,220 147,610 73,805 221,416 110,708 55,354

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