1,805,752

2³ × 13 × 97 × 179

Starting at 1,805,752, the Collatz iteration reaches 1 after 88 steps. The first transition is 902876; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 97 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,704,400

Proper Divisor Sum 1,898,648

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1805747 ← → #1805761

Radix Representation

Decimal	1805752
Binary	110111000110110111000 (21 bits)
Octal	0o6706670
Hexadecimal	0x1B8DB8

Divisor Catalog (32)

1 2 4 8 13 26 52 97 104 179 194 358 388 716 776 1,261 1,432 2,327 2,522 4,654 5,044 9,308 10,088 17,363 18,616 34,726 69,452 138,904 225,719 451,438 902,876 1,805,752

Collatz Trajectory (88 steps to reach 1)

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

1,805,752 902,876 451,438 225,719 677,158 338,579 1,015,738 507,869 1,523,608 761,804 380,902 190,451 571,354 285,677 857,032 428,516 214,258 107,129 321,388 160,694 80,347 241,042 120,521 361,564 180,782 90,391 271,174 135,587 406,762 203,381 610,144 305,072 152,536 76,268 38,134 19,067 57,202 28,601 85,804 42,902 21,451 64,354 32,177 96,532 48,266 24,133 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910

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