1,821,758

2 × 19 × 191 × 251

Starting at 1,821,758, the Collatz iteration reaches 1 after 202 steps. The first transition is 910879; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 191 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,903,040

Proper Divisor Sum 1,081,282

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1821749 ← → #1821763

Radix Representation

Decimal	1821758
Binary	110111100110000111110 (21 bits)
Octal	0o6746076
Hexadecimal	0x1BCC3E

Divisor Catalog (16)

1 2 19 38 191 251 382 502 3,629 4,769 7,258 9,538 47,941 95,882 910,879 1,821,758

Collatz Trajectory (202 steps to reach 1)

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

1,821,758 910,879 2,732,638 1,366,319 4,098,958 2,049,479 6,148,438 3,074,219 9,222,658 4,611,329 13,833,988 6,916,994 3,458,497 10,375,492 5,187,746 2,593,873 7,781,620 3,890,810 1,945,405 5,836,216 2,918,108 1,459,054 729,527 2,188,582 1,094,291 3,282,874 1,641,437 4,924,312 2,462,156 1,231,078 615,539 1,846,618 923,309 2,769,928 1,384,964 692,482 346,241 1,038,724 519,362 259,681 779,044 389,522 194,761 584,284 292,142 146,071 438,214 219,107 657,322 328,661 985,984 492,992 246,496 123,248 61,624 30,812 15,406 7,703 23,110 11,555

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