2,472,762

2 × 3 × 412127

Starting at 2,472,762, the Collatz iteration reaches 1 after 249 steps. The first transition is 1236381; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 412127

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,945,536

Proper Divisor Sum 2,472,774

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2472737 ← → #2472781

Radix Representation

Decimal	2472762
Binary	1001011011101100111010 (22 bits)
Octal	0o11335472
Hexadecimal	0x25BB3A

Divisor Catalog (8)

1 2 3 6 412,127 824,254 1,236,381 2,472,762

Collatz Trajectory (249 steps to reach 1)

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

2,472,762 1,236,381 3,709,144 1,854,572 927,286 463,643 1,390,930 695,465 2,086,396 1,043,198 521,599 1,564,798 782,399 2,347,198 1,173,599 3,520,798 1,760,399 5,281,198 2,640,599 7,921,798 3,960,899 11,882,698 5,941,349 17,824,048 8,912,024 4,456,012 2,228,006 1,114,003 3,342,010 1,671,005 5,013,016 2,506,508 1,253,254 626,627 1,879,882 939,941 2,819,824 1,409,912 704,956 352,478 176,239 528,718 264,359 793,078 396,539 1,189,618 594,809 1,784,428 892,214 446,107 1,338,322 669,161 2,007,484 1,003,742 501,871 1,505,614 752,807 2,258,422 1,129,211 3,387,634

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