λ
Integer Codex

2,730,792

23 × 3 × 113783
Abundant Even Composite

For 2,730,792, the 16 positive divisors have a total of 6,827,040. Removing 2,730,792 leaves 4,096,248, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 113783
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,827,040
Proper Divisor Sum 4,096,248
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2730781 ← → #2730797

Radix Representation

Decimal 2730792
Binary 1010011010101100101000 (22 bits)
Octal 0o12325450
Hexadecimal 0x29AB28

Divisor Catalog (16)

1 2 3 4 6 8 12 24 113,783 227,566 341,349 455,132 682,698 910,264 1,365,396 2,730,792

Collatz Trajectory (156 steps to reach 1)

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

2,730,792 1,365,396 682,698 341,349 1,024,048 512,024 256,012 128,006 64,003 192,010 96,005 288,016 144,008 72,004 36,002 18,001 54,004 27,002 13,501 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484

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