290,373

3 × 151 × 641

Starting at 290,373, the Collatz iteration reaches 1 after 96 steps. The first transition is 871120; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 151 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 390,336

Proper Divisor Sum 99,963

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #290369 ← → #290383

Radix Representation

Decimal	290373
Binary	1000110111001000101 (19 bits)
Octal	0o1067105
Hexadecimal	0x46E45

Divisor Catalog (8)

1 3 151 453 641 1,923 96,791 290,373

Collatz Trajectory (96 steps to reach 1)

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

290,373 871,120 435,560 217,780 108,890 54,445 163,336 81,668 40,834 20,417 61,252 30,626 15,313 45,940 22,970 11,485 34,456 17,228 8,614 4,307 12,922 6,461 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072

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