λ
Integer Codex

2,526,096

24 × 3 × 52627
Abundant Even Composite

For 2,526,096, the 20 positive divisors have a total of 6,525,872. Removing 2,526,096 leaves 3,999,776, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 52627
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,525,872
Proper Divisor Sum 3,999,776
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2526089 ← → #2526119

Radix Representation

Decimal 2526096
Binary 1001101000101110010000 (22 bits)
Octal 0o11505620
Hexadecimal 0x268B90

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 52,627 105,254 157,881 210,508 315,762 421,016 631,524 842,032 1,263,048 2,526,096

Collatz Trajectory (81 steps to reach 1)

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

2,526,096 1,263,048 631,524 315,762 157,881 473,644 236,822 118,411 355,234 177,617 532,852 266,426 133,213 399,640 199,820 99,910 49,955 149,866 74,933 224,800 112,400 56,200 28,100 14,050 7,025 21,076 10,538 5,269 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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