581,847

3 × 7 × 103 × 269

Starting at 581,847, the Collatz iteration reaches 1 after 190 steps. The first transition is 1745542; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 103 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 898,560

Proper Divisor Sum 316,713

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #581843 ← → #581857

Radix Representation

Decimal	581847
Binary	10001110000011010111 (20 bits)
Octal	0o2160327
Hexadecimal	0x8E0D7

Divisor Catalog (16)

1 3 7 21 103 269 309 721 807 1,883 2,163 5,649 27,707 83,121 193,949 581,847

Collatz Trajectory (190 steps to reach 1)

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

581,847 1,745,542 872,771 2,618,314 1,309,157 3,927,472 1,963,736 981,868 490,934 245,467 736,402 368,201 1,104,604 552,302 276,151 828,454 414,227 1,242,682 621,341 1,864,024 932,012 466,006 233,003 699,010 349,505 1,048,516 524,258 262,129 786,388 393,194 196,597 589,792 294,896 147,448 73,724 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161

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