8,400,111

3 × 29 × 96553

Starting at 8,400,111, the Collatz iteration reaches 1 after 230 steps. The first transition is 25200334; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 96553

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,586,480

Proper Divisor Sum 3,186,369

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #8400097 ← → #8400131

Radix Representation

Decimal	8400111
Binary	100000000010110011101111 (24 bits)
Octal	0o40026357
Hexadecimal	0x802CEF

Divisor Catalog (8)

1 3 29 87 96,553 289,659 2,800,037 8,400,111

Collatz Trajectory (230 steps to reach 1)

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

8,400,111 25,200,334 12,600,167 37,800,502 18,900,251 56,700,754 28,350,377 85,051,132 42,525,566 21,262,783 63,788,350 31,894,175 95,682,526 47,841,263 143,523,790 71,761,895 215,285,686 107,642,843 322,928,530 161,464,265 484,392,796 242,196,398 121,098,199 363,294,598 181,647,299 544,941,898 272,470,949 817,412,848 408,706,424 204,353,212 102,176,606 51,088,303 153,264,910 76,632,455 229,897,366 114,948,683 344,846,050 172,423,025 517,269,076 258,634,538 129,317,269 387,951,808 193,975,904 96,987,952 48,493,976 24,246,988 12,123,494 6,061,747 18,185,242 9,092,621 27,277,864 13,638,932 6,819,466 3,409,733 10,229,200 5,114,600 2,557,300 1,278,650 639,325 1,917,976

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