λ
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2,613,248

213 × 11 × 29
Abundant Even Composite

2,613,248 factors as 2^13 × 11 × 29. Its 56 positive divisors give a proper-divisor sum of 3,284,632, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^13 × 11 × 29
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 5,897,880
Proper Divisor Sum 3,284,632
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2613229 ← → #2613313

Radix Representation

Decimal 2613248
Binary 1001111110000000000000 (22 bits)
Octal 0o11760000
Hexadecimal 0x27E000

Divisor Catalog (56)

1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1,024 1,276 1,408 1,856 2,048 2,552 2,816 3,712 4,096 5,104 5,632 7,424 8,192 10,208 11,264 14,848 20,416 22,528 29,696 40,832 45,056 59,392 81,664 90,112 118,784 163,328 237,568 326,656 653,312 1,306,624 2,613,248

Collatz Trajectory (68 steps to reach 1)

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

2,613,248 1,306,624 653,312 326,656 163,328 81,664 40,832 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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