8,276,715

3³ × 5 × 37 × 1657

Starting at 8,276,715, the Collatz iteration reaches 1 after 199 steps. The first transition is 24830146; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 37 × 1657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,120,960

Proper Divisor Sum 6,844,245

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8276713 ← → #8276743

Radix Representation

Decimal	8276715
Binary	11111100100101011101011 (23 bits)
Octal	0o37445353
Hexadecimal	0x7E4AEB

Divisor Catalog (32)

1 3 5 9 15 27 37 45 111 135 185 333 555 999 1,657 1,665 4,971 4,995 8,285 14,913 24,855 44,739 61,309 74,565 183,927 223,695 306,545 551,781 919,635 1,655,343 2,758,905 8,276,715

Collatz Trajectory (199 steps to reach 1)

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

8,276,715 24,830,146 12,415,073 37,245,220 18,622,610 9,311,305 27,933,916 13,966,958 6,983,479 20,950,438 10,475,219 31,425,658 15,712,829 47,138,488 23,569,244 11,784,622 5,892,311 17,676,934 8,838,467 26,515,402 13,257,701 39,773,104 19,886,552 9,943,276 4,971,638 2,485,819 7,457,458 3,728,729 11,186,188 5,593,094 2,796,547 8,389,642 4,194,821 12,584,464 6,292,232 3,146,116 1,573,058 786,529 2,359,588 1,179,794 589,897 1,769,692 884,846 442,423 1,327,270 663,635 1,990,906 995,453 2,986,360 1,493,180 746,590 373,295 1,119,886 559,943 1,679,830 839,915 2,519,746 1,259,873 3,779,620 1,889,810

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