8,153,859

3 × 7 × 59 × 6581

Starting at 8,153,859, the Collatz iteration reaches 1 after 155 steps. The first transition is 24461578; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 59 × 6581

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,637,440

Proper Divisor Sum 4,483,581

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8153857 ← → #8153861

Radix Representation

Decimal	8153859
Binary	11111000110101100000011 (23 bits)
Octal	0o37065403
Hexadecimal	0x7C6B03

Divisor Catalog (16)

1 3 7 21 59 177 413 1,239 6,581 19,743 46,067 138,201 388,279 1,164,837 2,717,953 8,153,859

Collatz Trajectory (155 steps to reach 1)

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

8,153,859 24,461,578 12,230,789 36,692,368 18,346,184 9,173,092 4,586,546 2,293,273 6,879,820 3,439,910 1,719,955 5,159,866 2,579,933 7,739,800 3,869,900 1,934,950 967,475 2,902,426 1,451,213 4,353,640 2,176,820 1,088,410 544,205 1,632,616 816,308 408,154 204,077 612,232 306,116 153,058 76,529 229,588 114,794 57,397 172,192 86,096 43,048 21,524 10,762 5,381 16,144 8,072 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242

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