2,402,331

3 × 29 × 53 × 521

Starting at 2,402,331, the Collatz iteration reaches 1 after 236 steps. The first transition is 7206994; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 53 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,382,560

Proper Divisor Sum 980,229

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2402329 ← → #2402333

Radix Representation

Decimal	2402331
Binary	1001001010100000011011 (22 bits)
Octal	0o11124033
Hexadecimal	0x24A81B

Divisor Catalog (16)

1 3 29 53 87 159 521 1,537 1,563 4,611 15,109 27,613 45,327 82,839 800,777 2,402,331

Collatz Trajectory (236 steps to reach 1)

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

2,402,331 7,206,994 3,603,497 10,810,492 5,405,246 2,702,623 8,107,870 4,053,935 12,161,806 6,080,903 18,242,710 9,121,355 27,364,066 13,682,033 41,046,100 20,523,050 10,261,525 30,784,576 15,392,288 7,696,144 3,848,072 1,924,036 962,018 481,009 1,443,028 721,514 360,757 1,082,272 541,136 270,568 135,284 67,642 33,821 101,464 50,732 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241

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