2,871,459

3² × 37 × 8623

Starting at 2,871,459, the Collatz iteration reaches 1 after 76 steps. The first transition is 8614378; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 37 × 8623

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,260,256

Proper Divisor Sum 1,388,797

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2871457 ← → #2871467

Radix Representation

Decimal	2871459
Binary	1010111101000010100011 (22 bits)
Octal	0o12750243
Hexadecimal	0x2BD0A3

Divisor Catalog (12)

1 3 9 37 111 333 8,623 25,869 77,607 319,051 957,153 2,871,459

Collatz Trajectory (76 steps to reach 1)

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

2,871,459 8,614,378 4,307,189 12,921,568 6,460,784 3,230,392 1,615,196 807,598 403,799 1,211,398 605,699 1,817,098 908,549 2,725,648 1,362,824 681,412 340,706 170,353 511,060 255,530 127,765 383,296 191,648 95,824 47,912 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88

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