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2,954,504

23 × 72 × 7537
Abundant Even Composite

2,954,504 factors as 2^3 × 7^2 × 7537. Its 24 positive divisors give a proper-divisor sum of 3,490,486, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 7537
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,444,990
Proper Divisor Sum 3,490,486
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2954503 ← → #2954507

Radix Representation

Decimal 2954504
Binary 1011010001010100001000 (22 bits)
Octal 0o13212410
Hexadecimal 0x2D1508

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 7,537 15,074 30,148 52,759 60,296 105,518 211,036 369,313 422,072 738,626 1,477,252 2,954,504

Collatz Trajectory (182 steps to reach 1)

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

2,954,504 1,477,252 738,626 369,313 1,107,940 553,970 276,985 830,956 415,478 207,739 623,218 311,609 934,828 467,414 233,707 701,122 350,561 1,051,684 525,842 262,921 788,764 394,382 197,191 591,574 295,787 887,362 443,681 1,331,044 665,522 332,761 998,284 499,142 249,571 748,714 374,357 1,123,072 561,536 280,768 140,384 70,192 35,096 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130

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