195,880

2³ × 5 × 59 × 83

Starting at 195,880, the Collatz iteration reaches 1 after 178 steps. The first transition is 97940; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 59 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 453,600

Proper Divisor Sum 257,720

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #195869 ← → #195883

Radix Representation

Decimal	195880
Binary	101111110100101000 (18 bits)
Octal	0o576450
Hexadecimal	0x2FD28

Divisor Catalog (32)

1 2 4 5 8 10 20 40 59 83 118 166 236 295 332 415 472 590 664 830 1,180 1,660 2,360 3,320 4,897 9,794 19,588 24,485 39,176 48,970 97,940 195,880

Collatz Trajectory (178 steps to reach 1)

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

195,880 97,940 48,970 24,485 73,456 36,728 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634 715,817 2,147,452 1,073,726 536,863 1,610,590

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