2,165,822

2 × 1082911

Starting at 2,165,822, the Collatz iteration reaches 1 after 153 steps. The first transition is 1082911; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 1082911

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,248,736

Proper Divisor Sum 1,082,914

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2165819 ← → #2165843

Radix Representation

Decimal	2165822
Binary	1000010000110000111110 (22 bits)
Octal	0o10206076
Hexadecimal	0x210C3E

Divisor Catalog (4)

1 2 1,082,911 2,165,822

Collatz Trajectory (153 steps to reach 1)

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

2,165,822 1,082,911 3,248,734 1,624,367 4,873,102 2,436,551 7,309,654 3,654,827 10,964,482 5,482,241 16,446,724 8,223,362 4,111,681 12,335,044 6,167,522 3,083,761 9,251,284 4,625,642 2,312,821 6,938,464 3,469,232 1,734,616 867,308 433,654 216,827 650,482 325,241 975,724 487,862 243,931 731,794 365,897 1,097,692 548,846 274,423 823,270 411,635 1,234,906 617,453 1,852,360 926,180 463,090 231,545 694,636 347,318 173,659 520,978 260,489 781,468 390,734 195,367 586,102 293,051 879,154 439,577 1,318,732 659,366 329,683 989,050 494,525

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