λ
Match Zalai

2,488,508

22 × 11 × 23 × 2459
Deficient Even Composite

2,488,508 factors as 2^2 × 11 × 23 × 2459. Its 24 positive divisors give a proper-divisor sum of 2,470,852, so this integer is deficient. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 2459
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,959,360
Proper Divisor Sum 2,470,852
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2488489 ← → #2488537

Radix Representation

Decimal 2488508
Binary 1001011111100010111100 (22 bits)
Octal 0o11374274
Hexadecimal 0x25F8BC

Divisor Catalog (24)

1 2 4 11 22 23 44 46 92 253 506 1,012 2,459 4,918 9,836 27,049 54,098 56,557 108,196 113,114 226,228 622,127 1,244,254 2,488,508

Collatz Trajectory (236 steps to reach 1)

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

2,488,508 1,244,254 622,127 1,866,382 933,191 2,799,574 1,399,787 4,199,362 2,099,681 6,299,044 3,149,522 1,574,761 4,724,284 2,362,142 1,181,071 3,543,214 1,771,607 5,314,822 2,657,411 7,972,234 3,986,117 11,958,352 5,979,176 2,989,588 1,494,794 747,397 2,242,192 1,121,096 560,548 280,274 140,137 420,412 210,206 105,103 315,310 157,655 472,966 236,483 709,450 354,725 1,064,176 532,088 266,044 133,022 66,511 199,534 99,767 299,302 149,651 448,954 224,477 673,432 336,716 168,358 84,179 252,538 126,269 378,808 189,404 94,702

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