λ
Integer Codex

2,180,347

13 × 367 × 457
Deficient Odd Composite

For 2,180,347, the 8 positive divisors have a total of 2,359,616. Removing 2,180,347 leaves 179,269, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 367 × 457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,359,616
Proper Divisor Sum 179,269
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2180341 ← → #2180351

Radix Representation

Decimal 2180347
Binary 1000010100010011111011 (22 bits)
Octal 0o10242373
Hexadecimal 0x2144FB

Divisor Catalog (8)

1 13 367 457 4,771 5,941 167,719 2,180,347

Collatz Trajectory (104 steps to reach 1)

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

2,180,347 6,541,042 3,270,521 9,811,564 4,905,782 2,452,891 7,358,674 3,679,337 11,038,012 5,519,006 2,759,503 8,278,510 4,139,255 12,417,766 6,208,883 18,626,650 9,313,325 27,939,976 13,969,988 6,984,994 3,492,497 10,477,492 5,238,746 2,619,373 7,858,120 3,929,060 1,964,530 982,265 2,946,796 1,473,398 736,699 2,210,098 1,105,049 3,315,148 1,657,574 828,787 2,486,362 1,243,181 3,729,544 1,864,772 932,386 466,193 1,398,580 699,290 349,645 1,048,936 524,468 262,234 131,117 393,352 196,676 98,338 49,169 147,508 73,754 36,877 110,632 55,316 27,658 13,829

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