8,376,665

5 × 11 × 17³ × 31

Starting at 8,376,665, the Collatz iteration reaches 1 after 142 steps. The first transition is 25129996; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 17^3 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,026,880

Proper Divisor Sum 3,650,215

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8376661 ← → #8376671

Radix Representation

Decimal	8376665
Binary	11111111101000101011001 (23 bits)
Octal	0o37750531
Hexadecimal	0x7FD159

Divisor Catalog (32)

1 5 11 17 31 55 85 155 187 289 341 527 935 1,445 1,705 2,635 3,179 4,913 5,797 8,959 15,895 24,565 28,985 44,795 54,043 98,549 152,303 270,215 492,745 761,515 1,675,333 8,376,665

Collatz Trajectory (142 steps to reach 1)

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

8,376,665 25,129,996 12,564,998 6,282,499 18,847,498 9,423,749 28,271,248 14,135,624 7,067,812 3,533,906 1,766,953 5,300,860 2,650,430 1,325,215 3,975,646 1,987,823 5,963,470 2,981,735 8,945,206 4,472,603 13,417,810 6,708,905 20,126,716 10,063,358 5,031,679 15,095,038 7,547,519 22,642,558 11,321,279 33,963,838 16,981,919 50,945,758 25,472,879 76,418,638 38,209,319 114,627,958 57,313,979 171,941,938 85,970,969 257,912,908 128,956,454 64,478,227 193,434,682 96,717,341 290,152,024 145,076,012 72,538,006 36,269,003 108,807,010 54,403,505 163,210,516 81,605,258 40,802,629 122,407,888 61,203,944 30,601,972 15,300,986 7,650,493 22,951,480 11,475,740

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