3,420,943

31 × 211 × 523

Starting at 3,420,943, the Collatz iteration reaches 1 after 221 steps. The first transition is 10262830; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 211 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,554,816

Proper Divisor Sum 133,873

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3420919 ← → #3420959

Radix Representation

Decimal	3420943
Binary	1101000011001100001111 (22 bits)
Octal	0o15031417
Hexadecimal	0x34330F

Divisor Catalog (8)

1 31 211 523 6,541 16,213 110,353 3,420,943

Collatz Trajectory (221 steps to reach 1)

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

3,420,943 10,262,830 5,131,415 15,394,246 7,697,123 23,091,370 11,545,685 34,637,056 17,318,528 8,659,264 4,329,632 2,164,816 1,082,408 541,204 270,602 135,301 405,904 202,952 101,476 50,738 25,369 76,108 38,054 19,027 57,082 28,541 85,624 42,812 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703

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